You're forgetting that there are men who are "hobosexuals".. meaning they shack up because they are homeless. These men are usually "desirable" or have something a woman wants, so he moves in until he ticks her off, then he finds another one.
Most homeless men, from what I've been able to gather, are either in their teens, or old enough that there's nothing a woman would want from them...
There also exist "Battered Women Shelters" for lack of a better term coming to mind at the moment, which house women who have run away from abusive relationships - these women aren't usually counted among the homeless.
There is also the trans community which I'm not certain gets correctly counted by narrow-minded government employees.
Yes, on the surface, it appears there are more homeless women than men... I believe those numbers are skewed because of errors in data collection, attitude, and realities.
Also, remember that there are "predatory" women who are happy to put up with less than good-for-them men in order to have a home in which to live - and men who either don't know they're doing this, or don't care. (not saying this is all women, just that those women exist.)