History MA Thesis: Advisor wants my research sent to her
Unless you have some evidence that the professor engages in improper conduct (stealing the student's work), I suggest that you give her everything she asks for. There is no downside to this if the advisor is honest and helpful. The most likely explanation would be that she is trying hard to keep you on track and wants early warning if you seem to be wandering.
You may not think this is necessary, and it may not be, but some students do wander and lose focus.
So, assuming a good and fair advisor, sharing can shorten your path to success.
But, if you have evidence that she is not a good actor, you should find a way to work with someone who is. Bad actors are rare (I hope) but they do exist.