She wants to hang out with you. That's how people get to know whether more than just a physical attraction exists between them. Maybe you'll just gain a new friend. Maybe you'll develop a romantic relationship. Maybe you'll discover that you don't really have much in common and don't really enjoy each other's company that much.
You have a measure of control here. A relationship based purely on physical attraction can't happen without you letting it happen. She's interested in getting to know you. Maybe she'll come to admire you, maybe she won't. Stop getting ahead of yourself and go hang out with her. Suggest an alternative venue if you feel extremely uncomfortable about hanging out at her house.
Take some risks. Feel the fear and do it anyway.
Exactly this. This is where you start. She knows nothing about you besides how you look. What do you expect her to feel?
Go get to know her, and understand that if you were
ever to have a deep relationship with someone, you damn well better feel attracted to her (and vice versa).
You're overanalyzing. Go in with no expectations, stop worrying, and have fun with someone.