Should I give up on shy girls?

When I was younger in high school I was quite ugly, but when I got older, say 18 years old, I got better looking, got fit, taller, etc, and all around became good looking. Don't wanna sound big headed in saying that though, I just go off of what people say about me. So naturally, becoming good looking late has kind of damaged my own confidence and I'm somewhat shy myself.

I think because of being good looking, girls in general act shy, nervous, and aloof around me. My whole life since I was 18 girls get shy around me (even if they're party girls and outgoing with every other guy), they sit and stare from afar, twirl their hair, fidget with their clothes, run off to the bathroom, apply lipstick in front of me, all this body language stuff. They sit and giggle with their friends about me, they try to position themselves close to me so I can approach them.

But when I do approach them, they literally give me the deer in headlights look and act shy, weird, they go red, they literally have a heart attack and speak all shy in a soft voice, fidgeting and twirling their hair. Should I just give up on these girls? Cause I find that I get better results if I approach party girls and what not but I prefer normal girls to this type. What can I do to fix this? Cause I like a shy girl but it seems to be getting nowhere cause I can't talk to her without her getting all weird/panic attack.

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I'm actually getting very tired of it cause literally every girl I have ever known acts like this around me. And I find it hard to find a way around it, none of my average friends have this problem and I see these girls talk to average guys without a problem at all. But when it comes to me they just seem to forget how to function like a normal girl lol.
Should I give up on shy girls?
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