I never had to remove stink, since my does were "hand-bred" in that I watched closely for their heat and ran 'em into the buck pen, held them while he had his way (ok, their way, too, the little hussies) and then put them back into their own stalls. Another visit a few hours later if possible. I did put Willow in with him all winter, but for some reason, she didn't stink. She is a tough little bulldozer and I don't think she ever allowed him near her. She did not get pregnant after several months with him. She was rather copper deficient, though...it was a rough year and I shamefully missed some things here. It was always dark when I went out to care for her and there is no light in the buck pen.
But I think I did make the suggestion somewhere that I would try that enzyme formula that removes urine from your house. There are many on the market, so I would choose one that is not scented. Some are highly scented with artificial stuff that would probably irritate the skin and might even taint the milk as much as the buck cologne would.
I would put it on a terry cloth rag and rub it well into the hair, retreating morning and evening until the stink is gone. I use it on my dogs if they manage to rub their faces in something nasty and I can't bathe them....like it is midnight and they go out for a tinkle and come in smelling rank, usually on one cheek or ear or near the collar. Scrub...sniff.....scrub...sniff.....scrub....sniff....until the stink is gone.