Men aren't interested in women's intelligence primarily. We are more interested in first in a women's looks and then how well she can create a loving relationship both with her man and with children.
If a man finds a relatively attrative woman that he finds to be of possible marriage material one good predictor of how well she will treat him is by the way she treats children in her sphere of influence.
Both men and women often say they find intelligence appealing. That's really an overstatement. When most people (not all) say they want an intelligent mate, they really tend to mean a date who is 'not dumb.' That is, 'smart enough.'
Most people are intelligent enough for most people. Brains in itself isn't as much of a sexual turn-on as some suggest.
That isn't so different from what a woman looks for in a man.