I work for my dad at a meat processing plant and this is not unusual we get deer in all the time with arrows in them they are one tough animal. Big mature animals almost always have some type of old injury, whether with gun or bow.
A sad situation that is very bad for the animal and will also have a negative affect on peoples attitudes towards bow hunting and hunting in general.
I once on the opening weekend of rifle season (the weekend before Thanksgiving) shot a doe that came out on a deer drive that had an arrow sticking half on one side and half on the other side of her lower front jaw. A fiberglass arrow and it never broke off so the full length was there yet. She was obviously sick and thin so I popped her and left her lay.
I later found out that she had been hit on the opening weekend of bow season. ( MID SEPT! ) and that the "hunter" had tried to get her for a while and had spoke with the DNR about her running around like that. The DNR had actually told him to get friends together and shoot her even if with a rifle. But he was embarrassed to tell anyone about her so he did nothing.
In a perfect world, you get a perfect shot on a perfect buck and a perfect kill. It ain't no perfect world. It's not good but that stuff is going to happen.