Why does your character think girls are always having catfights over guys, or that girls are the only ones who have drama? At the moment, all of my closest friends happen to be women and I really value my relationship with them. And I've known plenty of men with all sorts of drama, although I certainly don't use that to disqualify an entire gender as potential friends. I've been friends with a lot guys and I value those relationships too.
Also, it sounds like your character doesn't simply prefer not to wear traditionally feminine clothing. It sounds like she thinks it's bad
to do culturally feminine things because women
are bad. And it sounds like she also thinks that culturally masculine things are better because men are better than women. So in order to be a worthwhile person, a woman has to abandon everything that's considered feminine and instead pursue "masculine" hobbies, like playing video games.