First, I'm going to go ahead and generalize here, since no conversation is possible if you worry about the "exceptions" or people who will get offended because they don't fit the common pattern.
Modern, secular colleges/"universities" (which are quite different from the classic notion of the university, but I digress) are very dangerous places, for men or women.
But, all things being equal, men are less prone to be damaged by them.
1. Because of nature. Men are less inclined to "please" and conform to what is around them -- to the consensus of their peers. Women are inclined to do this. They are hard-wired by nature to please men. They are consensus-builders by nature. (As an aside, modern public schools and colleges are *completely* geared this direction. This is why women do so well in public school and college.)
2. Because of vocation. The role of men is to wade out into the big bad world, be strong, and do whatever needs to be done to support a family. That includes getting a degree, working in the secular world, etc. On this heading, it should be pointed out that the man often NEEDS a degree (or professional training of some sort), because he will be supporting the family. This is not true for the women. They will be staying home, schooling and raising the children.
3. Because of proper gender roles in marriage. A man with a degree is a stronger leader, a more confident husband. A woman with a degree will at least be tempted to be resentful that her bachelors degree means she has to stay home and change diapers, cook, etc. while his bachelors degree (or associates degree, or LACK OF degree) means he gets to "go out in the world" and do "real work" that every worldly person gives more respect to.
Basically my position is that of Bishop Williamson in his famous letter on "Women in University".
I haven't had to worry about it yet -- my oldest girl is only 5 1/2 -- but the stars would all have to align for me to even consider "giving my blessing" to their attending college.
* Extreme talent shown in some area
* Which is in line with female nature (teaching, nursing, accounting, culinary, etc.)
* Some time (6-12 months after 18) already spent thinking about -- and actively looking into -- a possible religious vocation. Time spent thinking about life in general.
* She already has the basic homemaking skills down, from her pre-teen and teen years
* Awesome grades, leading to a slew of scholarships/free money (we don't want a young lady saddled with debt to hinder her chances at marriage)
* The understanding that career is NOT what a woman's life is about
* Therefore she should be looking for that husband, and ready to give up whatever "career" she was working on, when he shows up.
* And she would have to be a day-student, not live in a dorm with other pagans.
* Lastly, I'd have to look at her personality. Is she a sheepish follower, or a strong leader type?
Those are the only conditions I *might* be OK with. Like I said, I like to consider everything carefully, but at first glance I'm always *very* leery of the world and its influence. It's very, very powerful and most people underestimate how much it can destroy a man or woman, especially when they are young and vulnerable.
But maybe it would be better for these women to study these things on their own? If the goal is to be able to better take care of children (say, by having nursing skills), why not study a bunch on their own? Up to and including taking online courses. Why not desire a more general, practical knowledge instead of a knowledge geared at getting a job as a nurse?
I've been studying electronics off and on since I was 12 years old. Each time I get into it (every 3-5 years, like clockwork), I learn a bit more. Pretty soon I'll have most of the knowledge of an electrical engineer, having never set foot in a school for that purpose.
Sure, no one might ever hire me as an electrical engineer, but if I can design and build a workable electronic device from scratch using a few parts I scavenged from an old TV set, I've still met my goal, right?
That kind of thing.