Sometimes girls can be attractive to the shy/nervous type. It makes them feel even prettier than they are to have a guy stumbling over his words at the mere sight of herself (again, just a theory). Use it to your advantage.
This only works when you're a complete gentleman however, chivalry is a must. Little things like holding the door, making eye contact and nodding with a 'freindly' GENUINE smile (not a perverted one, one you'd give to a nice person when departing etc). I use my timidity to my advantage, but I do so with confidence. I don't fear rejection I guess. I'm very picky with women and its very seldom I find a personality I can mesh with and dig. To me, ALL women are absolutely gorgeous and ravishing, in each their own peculiar way, so its ironic that I can't date most of them because I'm just too picky personality wise. Looks are nothing to me, but thats me. I'm strange. It can be more fun to flirt than to actually date sometimes. I'm a HUGE flirt. Not a skeezy Barhopping type, I don't go to bars in fact. Just on the slight chance I might see a girl in public I'll typically say something like "good day/afternoon," or offer to light her cigarette then withdraw and wait for her to make the first statement which generally leads into conversation. Keep the conversation slow and impersonal at first, and feel out the situation as it evolves. Sometimes, you'll eventually end up speaking in a manner thats likely to land you a date or AT LEAST a personal friendship.
Sorry I got off on one of the godless fucking tangenets again. These diversions are going to send me into a pine box one of these days.
But yeah, confidant timidity lets call it. If you think about rationally there really is nothing to lose. Your ego might take it bad and you might brood on it for a while, this is a mistake. Its useless behavior, shit, even I do it. Its natural. But remember its just your ego and not yourself thats being hurt in that scenario.
Where do you frequent usually (socially) to court these fine young vixens? Bars? Art Shows? Coffee Shops? Bluelight?