You've idealized her too much she is just a person like you, your sister, or anyone else. I'm not sure I understand how you plan on having a successful relationship with her if she does say yes. If you find her so annoying now what makes you think you'll feel any different when you're eating dinner some place as a couple? Your bitterness and jealousy over being rejected is very apparent from what you've wrote. Your views on women are kind of wrong as a result. You shouldn't care what girls talk about if they want to talk about that stuff they'll talk to other girls its none of your concern. Talk about things you like and if they don't like it talk to a different girl. It's perfectly ok to hate society though I don't blame you on that.

My advice is to recognize you can't have her and move on. That doesn't mean to ignore her forever you can still like someone and recognize that you can't date them you just have to be mature about it. You can even still talk to them you just have to respect how they feel. Either way its rough I know the feeling you don't have to listen to me I don't know much anyway.