The killing of Hourman was by a time traveller. Effectively, it could be seen as the aberration being fixed. Vixen supposedly joined to find his killer and could return after.
If you look at the aberration in the Old West, the villain had time to mine extensively, refine an unknown ore, somehow profit on it, and establish a huge fiefdom. There's no clear timeline on how fast aberrations need to be dealt with.
All roads lead to truth if you're willing to travel honestly.

Just forget the character when this show is cancelled.

I'm looking forward to seeing Jefferson and Martin look at each other when Sarah announces in a meeting that the time traveler they've been after is a speedster , as they likely already have more information about it from the hidden message to Rex they found from Barry

unless of course this arc ends with them giving her a lift back to 1942 then nothing will have been changed despite her being removed from 1942 temporarily
so if the logic on this show is to be upheld (sadly it hardly ever is lol), then the fact that things havent changed on Arrow is because she survives season 2 of LOT and is then placed back safely in 1942

knightfall182 posted
Definitely on the history of the Arrow-verse.
There should be no Vixen in the present, since Amaya wasn't there in 1942 to eventually have children (leading to her granddaughter).
It's amusing how Barry's post-Flastpoint led to such shifts in the timeline, just by saving his mom, then killing her again.
Yet, the 'Legends' screw up time in huge ways every week and the timeline seems to be fine.
It blows my mind that they are okay with keeping someone from the past on their crew, and not concerned with how that could eff up history, especially since she's JSA.
I agree with you 100%. I started off liking this show, but the further the show goes on the more confusing the whole time travel thing gets, and the more holes there seem to form in the story. You would think a lot of the stuff happening in this show (especially in season 2) would have a massive impact on Arrow and The Flash. But for some reason it seems like nothing that happens in this show has any affect on Arrow or The Flash. Which just seems weird. I mean, all the stuff happening with Damien Darkh alone should already change everything that happened in season 4 of Arrow. Shouldn't it?
And I'm sorry, but someone really needs to reel in this team of Legends, because they actually cause more problems to the timeline(s) than the badguys they are chasing. The Legends team is undisciplined, uncoordinated, and frankly dangerous. I honestly find it disturbing that history itself is in the hands of these "Legends". By the time they're done the only future that will be left will be a smoldering crater that was once called Earth.
Where are the Time Wraiths now? Why aren't they hunting down the Legends for screwing up the history of the planet?

Now that the team knows they are dealing with a speedster, the reasoning is that it is going to take a speedster to stop one. So now they need to convince the only one they know (Barry) to go back with them to the moment RF enters the room to kill Rex.
As for how it affects Vixen, the problem here is the question of whom present day Vixen's grandfather is hasn't been answered. Is it Rex Tyler? If so, then the team needs to save him. If not, then they could still save him, but there is less urgency in terms of how it affects the timeline. In fact, you could argue that it is meant to be that Rex dies that day and Amaya meets and has children with someone else.
Someone really needs to figure out present day Vixen's family tree and shed some light on this. Both halves of Firestorm and Ray Palmer has met Vixen in her animated show, so that can be established.
She did fight Arrow Season 4 Damien Darhk, so 1987 Darhk or 1942 Darhk would have no idea who Mari/Vixen is.
Here is Mari/Vixen with Firestorm and Flash fighting Weather Wizard:
https://www.youtube.com/watch?v=xUzAi9Ry1AE

They could at least give it a try, they defeated Pilgrim when she had them all, they defeated Savage that couldn't even die but they managed to kill him in 3 different time lines, I think they could handle Reverse Flash if they go back in time before he kills Rex.
So go on. Kiss me. Kill me. Do something.

Think they were trying to remove the person who could fly.
"Now I am become Death, the destroyer of worlds."

Like someone else on here already posted, for all we know they will just take Vixen back to the point where she left, or maybe even a few moments before Rex Tyler is killed.
What doesn't make sense to me, and is somewhat related, is why they didn't all just travel back a little while before Rex is killed. Then they could be waiting, hiding and watching ready to attack whoever comes to kill Rex.
They cover this very briefly when Sara tells Vixen they can't go back to save Rex because the time traveller will just travel back a little further and kill Rex again, which sounds logical for a moment, till you think about it.
They are going to spend this entire season trying to find the time traveler (Thawne), except they already know exactly when and where he will be (in the JSA headquarters killing Rex), so they could just go back before the incident and plan an ambush even a speedster couldn't escape.
Of course this would involve any one of the characters in the show having the most basic common sense or to think about something for over a second rather than just reacting and fly by the seat of their pants real role models these idiots are.
So many of their issues could be resolved if they would stop and think for one minute, and, supposedly, two of the members are "geniuses" yet one of those geniuses didn't even think to put in any safety measures or biometric security on their billion dollar atom suit you know, just in case if some random were to knock him out and steal his suit, which I believe has already happened over a dozen times on this show anyway I am just ranting now it's just such lazy writing.

Time is convoluted.

Mari McCabe's grandmother is Amaya Jiwe, but Mari was raised by foster parents. When Mari was 10 she was given a necklace that her birth parents had given to her foster parents when she was young. This is the Anansi Totem, which is from the Zambesi people.
Amaya is from Zambesi, and so are Mari's birth parents. Presumably, at some point 1940s Vixen Amaya returns to Zambesi and gives birth to either Mari's mother or father.
Do you think the father of that child is supposed to be Rex Tyler? Or was Rex Tyler supposed to be killed by Reverse Flash all along? Just as the Legends were perhaps meant to kill the Shogun all along, just as Barry was meant to change the timeline, remove Sara Diggle, and create John Diggle Jr. because we met him in the future, otherwise known as predestination?
So lets just say that in a timeline where Amaya did not get on the ship, Rex dies because he was always meant to. She quits and goes back to Zambesi and meets Mari's grandfather and then gives birth to Mari's birth mother or father. Couldn't she do that as soon as her time travelling adventures are over?

I bet they will get Rex and Rip back maybe towards the end of the season. Even Snart is coming back pretty soon so
So go on. Kiss me. Kill me. Do something.

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it's weird they made a deal last season about how even though they would leave , they would eventually return as if nothing happened, but toward the end Rip was saying that they had been gone so long that they actually needed to finish there mission and get back because 2016 was starting to cement without them etc. So presumably Amaya has some time to get back to 42 before there's actually a permanent paradox/change. This could also be used to explain why we're not exactly seeing noticeable real-time changes on Flash and Arrow while the Legends have been trying to fix aberrations.

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Her being away is irrelevant, as long as she returns to her own time at some point.

actually if you'll recall she told Obsidian/Todd that she and rex were planning to retire to be together
as such they'd have had minimal Public action, and thus fewer ripples if both are removed from history
we also have no idea how the Vixen mantle is passed nor how they Might be related on top of that we've not seen Present Vixen since the Legends met the JSA so who knows how that rippled into 2016.
as we've already seen when the Legends went to 2046 Star City they Met Diggle Jr. who at that time wouldn't actually been 'created' by Flashpoint for another season so unless or frankly even IF we actually see something changed we can't be sure it's the result of action, inaction, or as yet committed past/Future action.
for all we know the season will end with them some how saving Rex's Life/stopping Thawne with a second trip to 1942 essentially negating everything after Nate gets the serum (who knows what kind of time loop/bubble is responsible for Rex being able to warn them, despite them getting back to the 1940s before he did this, and him Dying without doing it.)