Ignoring someone who rejected you.

I want some advice for this, because I think I'm doing the right thing for me, but I want to know if it's normal.

I was recently rejected by a girl who I had a rather large and serious crush on for some time. I felt very hurt, not necessarily because she rejected me, but because of the fact that she was very rude (she wouldn't make eye contact, only answered with one word answers, etc.) Although she didn't reject me with her words, she did so with her actions.

I just feel very hurt right now, and I feel that the best way to get over her is to ignore and or avoid her as much as I can. I think this is natural, but everyone in my life keeps telling me that I shouldn't avoid her, and that it's bad to avoid someone who rejects you. It's just that every time I see her, I feel like I'm in pain. I need to get over her, and I think "out of sight, out of mind" is the best way, but no one else seems to think so. What do you think? Am I just crazy for wanting to do this, or is it perfectly natural?
Ignoring someone who rejected you.
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