This is incorrect. 14% of women are under the poverty line, to 10% of men. That's not "overwhelming". On the flip side, a significant majority of the homeless are men.
The gender difference seen in the poverty statistic is in my estimation due to the fact that women are generally less motivated than men to earn money, and thus less willing to make sacrifices to do so (which is why men overwhelmingly work dangerous jobs, and are 10X more likely to die in a work place accident as a result). This will result in the lower income levels seen in the female demographic, which will extend to more women having income levels that fall under the poverty line.