You made a perfect headless girlfriend!

You have been living in a college dorm for a few months. It's your first year in college and you are too swamped with homework to look for a girlfriend who might be interested in you. You try to study but your roommate keeps having loud sex with his girlfriend in the next room over. Eventually you risk disappointing your parents give up on studying by deciding to imagine a perfect girlfriend of your own. You don't know what she looks like yet, so you decide to imagine working your way up from her feet to give yourself time to decide what her head looks like. By the time you reach the neck, you are still not quite sure but dismiss your uncertainty as her hair being up. And then suddenly, the sound of a smoke alarm upstairs kicks you out of your thoughts. It is after midnight, so someone upstairs is probably smoking weed. Before you could get back to your imaginary creation, you hear a knock on the door. You answer and find that the naked beauty you imagined is standing in the hallway, and she doesn't have a head! There is a neck stump between her shoulders. You have no idea how this happened, but you will figure it out eventually. In the meantime, you decide to let her in anyway. She knows exactly where your room is and goes straight there without speaking a word because you also didn't give her a voice. She sits on your bed and starts flipping through your books. You don't want to have sex with her just yet because you have only just met her and know absolutely nothing about her, not even her name. What happens next?