you did the right thing. Here is a story for you. When I was in college, I was on my way back from bowhunting, when I hit a doe deer on a well used road. I was only going 25mph. The deer was not dead and was in obvious pain. I got out of the truck and grabbed my bow. I shot her in the lungs and she was dead in seconds. Some ******* saw the whole thing and pulled over and said that I should have "let nature take it's course" I told him that there was absolutely nothing natural about a deer being hit by a ton of steel and that it was an unromantic, and unfair way for such a great animal to die. He shook his head, said something to his wife and rolled up the window on his BMW. I hope that guy went back to Chicago where he belonged, and ate a nice red juicy stake that evening.