Hoooo boy. I don't know what to start explaining to you if you don't know that women can both internalise and engage in misogyny. Even more shocking, they can even victimize other women with misogyny. Crazy stuff out there, look up terfs when you have time; they're not hard to find.

This all reads like a person who is deeply uncomfortable accepting that people they empathize with are also harmful. No, you do not need omniscience to correctly deduce that a person who willfully identifies with an infamously and obnoxiously misogynistic group does not see misogyny as a deal breaker. Y'know what we call people who don't view misogyny as a deal breaker?

Misogynists.