How long after asking a woman out and getting a "let me think about it" answer should I wait to ask her again?

sousamagic
After asking out a young woman from my church group, and her telling me "let me think about that", I've been wondering how long I should wait to ask her again for the clarification. I know most will say that's a polite way of saying no, and may very well be the case but the way she acted then and our interactions since then not being majorly different than before make me believe she really did want time to think.

My plan is to wait two weeks and ask her again, if she gives me an answer great, but if it's another "thinking about it" type answer I would explain how I would like clarification, and give her just a couple more days. She is someone I feel is worth fighting for, but also don't want to get caught in a head game scenario either.
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Today she sent me this message: Well last week, I said let me consider. I guess I've been considering for a long time, and I don't want you to think I'm completely blowing you off. I guess it's lame to respond over a facebook message-sorry!
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Anyway. So I have been thinking about this. I don't really know how I feel, but, if you're OK with that, I think it might be OK to go on a date sometime and just see how things go. I don't mean "come prove yourself, this is a test",
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but really, just to see how it is. If you'd rather not do that since I'm not sure what I think, I understand that. Just let me know what you think. I'd have to agree with you that overall it's probably more important to be friends.
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Sorry it was in 3 parts but the updates had character # restrictions. My plan now is to tell her the plans I had come up with and see how it works out. Thanks for all the advice.
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I showed up with flowers and we went to dinner and spent about an hour and a half talking while sitting in the booth so we ran out of time to go to the museum, but I had set up the movie and we came back and watched it which I feel she enjoyed
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I've got a second date to plan :)
How long after asking a woman out and getting a "let me think about it" answer should I wait to ask her again?
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