Nursing is an interesting example. In places right now in the U.S. with high unemployment among men, there are a lot of nursing jobs, however men are not taking them because said nursing job doesn't satisfy the traditional requirements of masculinity (not knocking it) with which those guys were raised.
https://www.nytimes.com/2017/06/24/opinion/sunday/men-dont-w...
The article actually cites other potential issues such as the quality of the job itself, but traditional gender roles is a big part of it:
> "It seems like an easy fix. Traditionally male factory work is drying up. The fastest-growing jobs in the American economy are those that are often held by women. Why not get men to do them?
> The problem is that notions of masculinity die hard, in women as well as men. It’s not just that men consider some of the jobs that will be most in demand — in health care, education and administration — to be unmanly or demeaning, or worry that they require emotional skills they don’t have. So do some of their wives, prospective employers and women in these same professions."
...
> “Marriages have more problems when the man is unemployed than the woman,” Professor Sharone said. “What does it mean for a man to take a low-paying job that’s typically associated with women? What kind of price will they pay with their friends, their lives, their wives, compared to unemployment?”
> That may be, he said, because other sociologists have found that while work is important to both men’s and women’s identities, there remains a difference. “Work is at the core of what it means to be a man, in a way that work is not at the core of femininity,” he said.
So at the moment society is trying to figure out if it is OK with nursing being a "woman's" profession.