I still find the behavior odd. If someone says "I feel awkward around people because I'm short" no one says "haha that's not a real problem, you just have social anxiety". But when someone says "I feel awkward around people because I'm smart" suddenly everyone has an issue.
There are many varieties of intelligence in many domains. If you find yourself in the company of someone you feel is less intelligent than you, try finding what they know about or care about. What have they experienced that you haven't? Or perhaps try finding a shared area of ignorance. Who knows, you might find they consider you dumb or naive in some way.
It is indeed very hard for some people to feel comfortable in social situations that are outside their prior experience or interests. But I'm inclined to agree with grandparent comment that this has little to do with 'intelligence'.
Really? You don't think that intelligence has multiple components - raw intelligence, social intelligence, etc? And that you could in theory be good at one but not at the other?
I can't see any reason that someone who is really intelligent at technical things couldn't be just as socially intelligent. They probably just don't have as much practice with social environments when compared to technical problems.
Ever notice how SAHPs get starved for adult conversation? Parents have many things in common with their children and they care about their lives. They can certainly connect to their children. And yet, interaction with kids is not a substitute for adult conversation.
STAHP love connecting with adults to... talk about their kids.