You have more compassion than I do. Last year I was driving home in the rain an pitch black and 2 miles from home in my one month old 21 X5m40i with about 700 miles on it. Deer was in them middle of the road was spooked by the Truck on the other side and rammed my rear drivers side door (10k damage, all cosmetic). I didnt hit it, it ran into my car. I was so pissed I had no idea what hit me, pulled over to look and there were two gentlemen ready to put the deer down because of the collision.
I was cursing like a truck driver, then saw the deer, helped them pull it off to the side of the road, and left before they did the deed, as I could not watch. At the end of the day, its just a car and since the deer hit me, it was comprehensive and I had a 0 deductible. The deer was not quite as lucky.