I made a five-gallon plastic gas-type container with a faucet at the bottom. I've never gut-shot a Deer. My main malfunction is piercing the bladder. I've never worried about some random Deer berries. All my meat gets cooked well.
I'm not all that good at gutting, but I fail to see how somebody could screw it up that badly and leave guts in there. I always carry a little twine with me, tie off the esophagus high up in the neck.
The shape of the tip of the knife makes the process a lot easier, drop point works best. The tip on say a Buck knife 110 digs in. I gut on the ground. I've never hung one to gut. Grass actually works pretty well for cleaning the cavity out until you can get to some water to rinse.
I personally worry a lot more about parasites than I do random body waste.