Absolutely. Women can be perverts, women can also take the initiative and be the one who pursues, and women can be turned down. Gender stereotypes can shove it (though I also support women who enjoy stereotypes). I think people should just be people without any of that stuff mattering.
I brought up Semantic Error before, but it actually has one of my favorite female side characters, which is the MC's best friend. She's probably the smartest character in the series. She's frank, honest, basically tells the MC when he's being an idiot, and owns her own sexuality. Come to think of it, I think she's bi rather than a lesbian, but it's not 'who' she is. She brings up an ex-girlfriend only because it's relevant to the discussion at hand. But I just really liked her character.
There's another girl who pursues the MC's love interest. This guy is clearly on the spectrum (it doesn't say it, but it's extremely obvious) and once she realizes his inability to read cues, she's just frank with him. She tells him she likes him, but she understands he doesn't feel that way. And then she also takes time to be proud of herself and appreciate herself for taking that step and making herself vulnerable. It's really a great scene and I really had mad respect for her. And she doesn't just disappear, she stays his friend and it's awesome.
