I know that, if she doesn't, there's no story. Bear with me here. (Also, forget Aphrodite for the moment. She's rubbish and a weasel and therefore immaterial.)
Paris is the worst. He is only one of Priam's fifty sons, he has no real future expectations, and he's a total jerkweed.
I know that in the Alexandros, fragmentary though it is, we have some hint of a macho, worthwhile Paris. Deiphobus is all concerned about his status as tough guy, and Hector has to be placatory to everyone involved. Paris, here, is quite an athlete and a warrior and displays the hardy, honest constitution you would expect from someone who had been brought up as a shepherd on a mountain.
Unfortunately, unlike Hector, who, though he was to the manor born, retains some vestiges of a sense of personal responsibility, Paris takes the opportunities of living in a king's house to become an effete pustule who shirks absolutely everything.
Sure, he's dashing and handsome, I guess. But enough to sneak away from your husband (who is a king) to a place where your husband will not be a king and everyone will think of you as a whore? Even before you bring total ruin and despair to their city? I think even Orlando Bloom would pall, really. Especially after ten years of watching him let everyone else die while fighting his battles.
You would think she would have some standards, wouldn't you?