How do I move on from a fling?

I dated this person briefly in June, but we didn't think we had enough chemistry. Turns out I still had more interest in the idea of the relationship which I realized later, and had a bunch of unanswered questions about it. Forgot about the things I didn't like and only remembered the things I did.

Basically, after hanging out for like 8 hours, I convinced myself I still liked her. Told her, got shot down, which I expected.

Now, I'm trying to decide if I can go back to being friends with her (I told her I would), but I feel really awkward and ashamed about the whole thing. What should I do?

EDIT: I think i should mention, my feelings aren't actually that strong at all, I'm more just awkward and ashamed and afraid I won't not be awkward cause I'll always have those "what if" questions
How do I move on from a fling?
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