S-Fox, I saw one clue right off in your post. It was your dad saying " if you're so smart, then tell me...." That's a hurtful approach of his right there. When you are especially intelligent, it easily gets so that's what your self worth is based on when you were a little kid and people would be impressed by things you could do. They would say, "Wow, that's good"; and from that, you know you're good too.

Seeing it from another angle, many women who are beautiful totally base their self-worth on their looks. And even if not so blessed, many women go to great pains to do hair, make-up, clothes, etc. Then they go into depression with any displaced eyelash, and even more depressed as they get older and start "slipping". And it doesn't help that it's reinforced by men. No ridicule intended, as I've been through that, too.

So, whether you're a man or woman, it's risky to evaluate yourself by such bell curves as "authorities" design to judge us by. Personally, I think a good therapist can help someone with these concerns better than anyone else.
I know because I was gifted and became an obnoxious smart- mouth even at age 8. My family was horrendous, though, and my breakdown at age 30 brought my ego to a crash & burn. But I know I'm smart anyway and sorry I have to hide it and act dumb to fit in socially.

It helps to run with the people who think like you do when you can find them. I always wished I could go to Pacifica University in California where they have a Carl Jung curriculum. Maybe those people would understand, and I could become a perpetual student there. (just dreaming).

But I hope you can find your way, Fox, and believe in yourself, be patient with yourself, and know that you and your gifts are special even if you make some mistakes. BTW, Einstein was wrong about a number of things, and so were Neils Bohr and Feynman. I enjoy reading biographies of well-known geniuses to see their "human" lives, and it doesn't diminish my awe of they. ...<<see, I made a spelling mystake there, and I'm going to leave it like that just for practice at being wrong about something.