Depends on what you mean by "support". Very few in the Army who are not just back, training to go, or about to go. There are of course slots in R&D, procurement and so forth. Some of them are filled by the walking wounded. Others require a combat arms or at a least operations background. If they don't the job is likely getting done by a civilian, either DoD or contractor, and in some cases even if they do. We have one twice retired guy in the office where I work who has been all three, military officer, DA civilian, and now contractor.
We also have a Captain, male, who lost an eye to a bullet. We also have some female officers and NCOs.
As far as women in combat: NO WAY! In my one year of Army experience, I've met some good female soldiers. But all of them are the type you go to parade rest for. But a lot of them seem to be ala Jessica Lynch (i.e., panicking under pressure, forgetting how to operate a M-16, etc.).
Not the kind of people I would ever want protecting my back in combat. Of course, not that the male soldiers are all great, because they're not. But males were designed for combat, women weren't.