Would you date a 19 year old virgin girl, who never dated anyone before?
Don’t worry about what I or some other strangers not in your situation would do.
What do you want? Does this young woman (that’s right—not a “girl” but an actual card-carrying adult {18+ years of age} by most ethical and legal standards) want to date you? If she’s amenable and wants to date your adult self, what does her dating status or sexual experience have to do with anything? Don’t shame someone, especially a woman, in the opposite direction of what usually happens. And, again, don’t infantilize newly minted adults.
If you’re too weirded out by the situation and can’t handle her virgin, inexperienced self, do her and yourself a favor and leave her alone. Let her date someone who’s cool with these factors and doesn’t see them as a problem. Don’t anticipate a problematic situation for yourself. Respect her agency and let her, as as a grown ass woman, make up her own mind on whether or not you’re worth the hassle.