"So, it makes sense to provide more resources protecting women"

Does it, though?  

Every last person showing up at a shelter is a victim of, at the very least, common assault.  That there's 40% of the women and 24% of the men that are victims of aggravated assault means a lot to the police that will handle their cases, perhaps, because it will affect the charges that ultimately get laid, and it will affect front line triage in that a slightly higher percentage of women will need to be routed to medical care for treatment for injuries. But the figures for men are not ZERO, right?  

Front line triage's decision on whether to bring in supplementary medical care should be predicated on the presence or absence of injuries, ie. the actual salient concern, not the person's sex. As long as that protocol gets followed, everyone that needs it gets care and the slightly greater percentage of injured women gets accounted for, automatically.