Vash the Stampede said:
So, I plan on asking this girl out right after she is done performing as the lead in one of the university's plays. What I want to know is whether I should demand an answer up front OR tell her to promise me that she will think about it and tell me later?
What do you escapists think I should do?
I think that would be a bad time. Why not just go up and compliment her on her performance instead? Then, next time you see her around at Uni, go up and talk to her. Don't be all "will you go out with me?", just have a conversation, see if you hit it off, and if you do, maybe latch onto some common interest you both have and take it from there. Better to play it casual and fun rather than serious and intense.
In fact, you sound like you're being a bit intense about this generally speaking. Girls don't dig being "demanded" anything, especially by someone they don't know, and they're not going to promise you anything either if they don't know you. Even in a bona-fide relationship such things aren't necessarily a good idea. Intense vibes will sink your chances quickly, if you want to stand any chance at all you need to build a rapport, not an intense dramatic situation.