I honestly don't understand the question. And I'm not picking on you cause I see it on here all the time. What do you mean by should you move on? Were you planning on making her an exclusive girlfriend the first time you asked her out and she said yes? Having her turn you down or accepting your offer shouldn't change anything in the short run. You should be meeting new people no matter what at this point. Maybe she is the perfect girl for you, but you'll never know if you latch onto her right away.
As far as what you can do to "break her?" Well it's obvious. Whatever you were doing before wasn't working. So change the frame. Instead of laughing and goofing around with her (if that's what you usually do) laugh at her and make fun of her. If she gets mad, laugh at her more. Hit on other girls in front of her. Act like you barely even notice she's there. Be aloof and mysterious. Forget that you said you'd call her. If you meet for lunch every Wednesday (or something like that) be too busy the next few weeks and be vague as to why. The biggest problem I find with guys on this forum is that they're too hung up on one rejection. I'm going out tonight, and if I get shot down every time I talk to someone, I can call Lisa, Kathy, Alicia, Michelle, or Allie for a date this weekend (not bootie calls or whatever. Girls I like and am currently dating. Maybe someday I'll figure out which one I like the most). Or one of the girls whose number I got last weekend. So the outcome of my interactions really doesn't mean much to me, and they can feel that.
No you may not be in that position (having a few girls to call), but act like you are. When you're talking to a girl and you like her, make sure you show her that you honestly don't give a damn whether she says yes or not. That'll leave her wondering why you're so confident. And when I say show her I mean act almost completely apathetic. Totally cool. Yes? No? Who the hell cares. And the best part is, this behavior attracts girls on a subconscious level. I have a lot of girls who are friends, and they're always saying stuff like "I don't know what it is about this guy. There's something I can't figure out." Your goal is to be that guy.