Advice from the old lady:
My two cents on the OP's situation, FWIW is this: The girl noted she's a virgin and wants to stay that way until she's married. That is a value statement. The way this plays out in the field is that the girl did a Monday morning quarterbacking of the date afterwards, decided that the OP was too pushy for sex, and therefore not respectful of her choice to retain her virginity, even though she got turned on, even though she had fun etc. etc.
She doesn't want to risk losing her virginity, especially not with someone who she doesn't think is going to take her seriously, and someone who isn't willing to date her, invest in her, and get to know her before expecting sex.
THAT is what I think is going on here, plain and simple. She's not going to give him another date for all those reasons, including the possibility that he could talk her into sex in the moment, which she knows she will regret after the fact.
She has a conflict internally in that she is curious about sex, but also understands the conflict casual sex creates in the context of her value system. And this is the result you get. She's got enough self worth to dismiss OP rather than risk compromising her values. Will she eventually lose her virginity before marriage? Maybe so. But it is unlikely to be with someone so casual or so quick. Good for her.
This is an instructive example for the guys here, especially the young guys. You guys say you want women with good values. Here is just such a girl. And then rather than listen and pay attention to her value system, you push ahead for sex anyway, being extremely tone deaf to what she has expressed. Then you are surprised when she goes cold. There is no surprise there whatsoever. You've pushed too hard with a "good girl" and she sees you as looking to pump & dump. She's heard about guys like you (Pump & dumps) and she avoids that like the plague.
You can certainly ask her out again. My money says she'll ignore you altogether of she'll refuse outright.
You need to learn better calibration from this experience. You pushed too hard for sex and she found that inappropriate and off putting when she examined the situation after the fact. It's nuance and it's indeed a tightrope. But you start by listening to find out what are her values...what is important to her. And then you behave in a way that honors her values but surfs the edge enough to stoke her desire.