Whilst I can understand that her response is unwelcome for you, I think it is a brave and authentic thing for her to say to you. How can she be anyone other than herself? Would you like her to present a facade in an attempt to be a person you want her to be? I imagine you would detect that insincerity in a millisecond and withdraw from her as a result. If you dislike women, she is working in very difficult ground because she can only be the person you dislike. This is the work isn't it? You will struggle with wanting her to be a clone of your other therapist and when she inevitably fails to be that, you have to examine your responses and feelings to allow things to shift a bit.

I dislike men and would not work with a man again (my first therapist was a man). I would want to attend sessions to berate him and air my misandry and disgust for him and other men. I would not be interested in moving past those responses and it would not be therapy. I am impressed that you want to move beyond your misogyny (is that too strong a word for your feelings?) and are willing to be vulnerable enough to do that.