Who says there's a right way?
I spent a lot of time trying to figure out the "right way" to handle things with the opposite sex. And you know what? I still can't figure it out. Just when I think I've nailed down what works and what doesn't, I see somebody who acts opposite what I thought worked, and that works too. Or I see somebody who should have, by all rights, succeeded, get shot out of the air. I wish I could tell you something like "wait X days, then call her up, use Y routine, and NEXT her if she doesn't respond", but I don't think it really works like that. Still, here's some GENERAL advice.
Work on turning yourself into the sort of person who's always doing something fun. Spend time at fun outings, parties, whatever, building your socializing skills. Don't drop whatever you're doing just to spend time with her, and make sure she knows it. Don't worry so much about this one girl. Learn to flirt with other girls. Try one of the newbie missions here or in the fastseduction.com archives. That way, even if things fall through with her, you've still got other options. Beyond that, you're on your own. Good luck, we're all pulling for 'ya.