Well... I won't pretend that a lot of guys prefer a girl who can't challenge them. Intellectually, or physically. They feel it's somehow demeaning or degrading to 'lose' to a girl, especially a girl who's supposed to be crazy about them. How can the girl like them if the girl is better than them?

That's insecurity and chauvinism talking. The best partner is not one who will gladly recognize you as superior, but challenge you to be their equal.