She was influenced by the teachings of a number of religious scholars besides Luther. If I had to choose a single word to sum up her beliefs, I think I'd go for "Calvinist".
She may not have used that word herself, but her beliefs clearly lined up very closely with strict Calvinist doctrine.

Jane was schooled in the "new" religion, by Queen Catherine (Parr). That made Jane a Lutheran.

Henry VIII claimed to always be a Catholic. He made himself the head of the Catholic Church in England, now known as the High Church of England.

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Actually Edward is the one that really turned England in the direction of Protestantism. Henry VIII considered himself a good Catholic until the day he died, keeping the rites and liturgy of Cathoicism intact. The only difference was that he was an English Catholic and head of the English Church. His son Edward who had had Protestant counselors moved England in the direction of Protestantism. During his reign many rites and customs associated with Roman Catholicism were abolished. The Book of Common Prayer was introduced.
Elizabeth tried to walk a middle way between those who wanted to remain Roman Catholic and those "Separatists" who wanted an even more extreme form of Protestantism. Both groups were persecuted in her reign. Much of Elizabeth's reign was devoted to undoing the pro-Roman Catholic policies of her sister Mary and attempting to conciliate Cathoics and Protestants.

Not quite accurate.
Henry VIII broke with Rome and appointed himself Defender of the Faith, but he still regarded himself as the Catholic head of the church in England.
That's why at the time depicted in the film they followed the practices of the Catholic Church.
It was Elizabeth that formally founded the Church of England that we know today and broke with Catholic practices.

However, the movie messed up a little bit because at the time, Anglicans still believed in the true presence of the Eucharist (ie, the bread given out at communion is really the body of Christ
The change of the substance of the bread and wine to the body and blood of Christ occurring in the Eucharist is called Transubstantiation. The Roman Catholic Church holds this belief and it is this view, which not only has set them apart from other Christian denominations but also has caused great divide and controversy. Particularly between the Roman Catholic Church and the Anglican Church or Church of England.
Actually, the movie was correct. When Henry VIII reigned, the Anglican did accept the concept of the Transubstantiation or the sacrifice of the mass. Edward VI, Henry VIIIs son, was the reigning King at this particular time set in the movie. During Edwards reign, the Anglican Church DID NOT accept the Transubstantiation, (and have not since) in fact, it directly OPPOSED IT. Jane raised and educated very much like her cousin, King Edward vehemently OPPOSED the Transubstantiation. This was illustrated in the movie in Janes character and the opposition was KEY to the core of the VIOLENT controversy at the time Jane was alive.
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See what a difficult situation you've created. Proud of yourself now are you?

To be more specific, Jane was an Anglican, or a member of the Church of England, which was begun by King Henry VIII. However, the movie messed up a little bit because at the time, Anglicans still believed in the true presence of the Eucharist (ie, the bread given out at communion is really the body of Christ), but in the movie, Jane questions this belief when she meets with Mary in her castle.
In the United States, Episcopalians are roughly the same religion as Anglicans.

Jane was an extremely intelligent, vehement Protestant, like her cousin King Edward VI, whom she briefly succeeded. (During her childhood, Jane's parents hoped that Jane would marry Edward.) Facing the prospect of being succeeded by his vehemently Catholic half-sister, Mary, the dying Edward was willing to alter the succession to leave the throne to Jane.
After Mary took the throne from Jane via a popular uprising, Mary initially spared Jane's life. A second, anti-Catholic uprising followed, however. Mary offered to spare Jane's life a second time if Jane would convert to Catholicism, but Jane ultimately refused.

thank you. i thought she was a protestant just because of the time in history, but her personal belief/religion portrayed in the film was pretty mysterious/vague.

It would take a lot of space to provide the proper English history that your question really requires., so alas, I will just make it brief
Jane was a Protestant. The consipracy put her on the thrown to keep the thrown Protestant. Mary, a Catholic, has her put to death.