I wouldn't think that the fact of a degree in itself would have nearly the effect with regards to marriage as some of the things that are taught in higher education.
Some women seem to lose respect for their fathers in college, actually lose respect and develop anger and ridicule for men in general, some become firm believers that they are in fact victims of oppression by men and they put home and family in the oppression category, some have "causes" that they demand male companions support. Some find that the care and maintenance of their circle of girlfriends becomes their most important life pursuit. In the last election, it was found that the one white demographic that remained solidly in support of Barack Obama were college educated white women, but NOT white men.
The above is only a partial listing, but these sorts of things tend to drive men away, anti-male attitudes and unsympathetic, cold behavior count for much more than degrees although both the degree and the attitude seem to arrive at the same time.