Do hot socially awkward girl exist? Is there such a thing?

I'm not just talking about cute or pretty girls. I'm talking about a girl who is drop dead gorgeous. A girl that's smokin' hot that turns heads wherever she goes. Are there girls who are so physically attractive who are socially awkward at the same that exist? Or is that a mutually exclusive situation?
Do hot socially awkward girl exist? Is there such a thing?
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