A buddy of mine shot a nice 4pt muley a few years back that had a big growth on it's belly. He cut it off and the meat was fine. I ended up with some of the meat and a whole hind quarter. When I cut it into steaks I found a perfectly mushroomed rifle bullet. Must have hit the stomach first. No evidence of any injury whatsoever around the lodged bullet. He found his own bullet so this one was from a previous season.
I killed a nice 4pt whitetail many years ago that had a bright green liver. Meat was just fine.
My Dad killed a big 4pt whitetail years back that had a 3 blade broad head buried deep in it's nose from a straight on shot. Darn animals are tough. A lot tougher than us.