Should I try to salvage the friendship?

A few weeks back I had the temerity to ask out a really awesome female friend who I thought might have been into me - but it wasn't to be.

I tried to make it clear in the aftermath that I also value her company for its own sake, but I haven't heard back from her and have no idea if she believes I was sincere about that (I was), or if she has perhaps been offended.

Part of me wants to say something to her in the hope of reconciling, though I'm not really sure how. The other part thinks I should just give up and avoid making this even messier than it already is.

Is it a good idea to say anything at all, and if so, what should I say?
Should I try to salvage the friendship?
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