I believe it was a C-130 Hercules
These planes burn ~900 gallons an hour. That makes it a rather expensive taxi for just one person. A flight back to the US is probably 20 hours. 18,000 gallons of fuel at about $4.00/gallon. For one person. And that's assuming they didn't have to send the plane there to pick her up.
A plane dispatched like that for just one person MUST be pretty special to an airman.
And no, they couldn't have put the SEALs on there with her- they travel alone. they are a very closed group.
..Joe

Bin Laden's body was buried at sea. I assume the SEAL team delivered the body to the ship.

It's a very minor detail in the film, really. IMDB nitpicking.

I think she earned it.
And the SEALs were probably getting ready to head in a different direction.
"They haven't yet learned to think. They won't read. And they rarely listen. But they can see."

Totally! The OP is just paraphrasing the dialogue the air force staffer says to Maya any way. She was overwhelmed having just completed a 10 year task. Most people would be too.

There are many reasons to criticize this movie. This, however, is stupid.

Yeah, but I think that that scene was done mainly for dramatic purposes, so that they could show the psychological toll that the job had taken on Jessica Chastain's character, without her showing it to her colleagues.