As someone who has tried to document and report shitty behavior, it's important to keep in mind how risky that is.
Here are a few patterns I've observed:
pattern (a) MAN: does shitty thing; WOMAN: hey please stop; WOMAN's performance review: "has conflicts with MAN"
pattern (b) MAN: does shitty thing; WOMAN: reports shitty thing; MANAGER: oh MAN is a nice guy, why don't you try working it out yourself
pattern (c) MAN: does shitty thing; WOMAN: does nothing because she actually reports to MAN