Even then, your figures are off. Recovery for a Vaginoplasty is only 6-8 weeks. Same with a Metoidioplasty. (that's what you call turning a ***** into a dick.)
I had bunion surgery on both feet when I was in. So I was giving a profile of no marching and no running, but I was still expected to be at my desk, doing the paperwork I had to do. In fact, being me, I requested that my first sergeant drop off a typewriter and whatever stack of paper I had on my desk to my home so I could do work at home. (This was in the days before computers, and we did everything on a typewriter.