Her exact words were:

"sexism is prejudice + power" and "[therefore you] can't be sexist against men, only discriminatory"

My only thoughts were "But that's SEXIST". I then just told her that itself is sexist but didn't argue anymore as I want to 100% refute her argument in one fell swoop. Any help?

Edit: While I appreciate the general advice of 'dump her' and 'don't put your dick in crazy' both of those don't end in me exposing her obvious sexism.