A wounded or terrified deer can put you in a world of hurt. Had a biologist friend who walked up on a doe that had her back hooves caught up in a hog-wire fence. He cut her loose, and instead of running away she turned on him and kicked the crap out of him. Broke two of his ribs.
I made an uncharacteristically bad shot on a 3 1/2 year-old buck. Hit him in the hip as he was chasing a doe. We blood trailed him cross-country for some time. Blood trail went into a small patch of brush. I went around the brush to catch the blood trail on the other side. Buck was in the brush and came out antlers down charging me. I tried to hide behind a big oak tree, but he chased me around that tree three time. Eventually deciding discretion was the better part of valor, he tried to run away and runs past me so close I put my rifle barrel against his ribs and pull the trigger. That buck hangs on my wall as a reminder of how dangerous a wounded deer can be.