Thia is not strictly true. For a couple of reasons:

1) Men have systematically blocked women from being a part of some dirty dangerous industries. For example combat soldiers, firefighters, even fishermen. It's possible women may not be particularly good at these jobs, artificial boundaries certainly don't help your case.

2) There are other low paying industries dominated by women. For example pimped out prostitutes are predominately women. So again, there are basically no high paying professions dominated by women. And low paying professions are shared by men and women.

Homelessness and prisoner isn't a profession. It's a state of life. But a more fair comparison there is to something like domestic abuse leading to death at the hands of the opposite sex. Or rape at the hands of the opposite sex. Or even just murder at the hands of the opposite sex.