Check out this story about this dude, Wayne Goldsberry, who engaged in an epic battle with a deer, finally managing to snap its neck with his bare hands while standing in a pool of its blood.
Now, the deer had broken into his house, so it's not like he went hunting in the forest and forgot his gun. Still, though, I have to wonder if it was entirely necessary to enter the room where the deer was and pick a fight. He could've just shut the door and waited for the authorities to arrive.
However, think of it this way...people who do go hunting do it just for the fun of tracking and killing an animal. This guy killed to defend his home and family. Who is more justified in the murder? The deer wrestler is, in my opinion.
Plus, he does intend to have the deer processed for meat, so not only did he save his home, but he'll provide a hot meal for someone. Maybe he'll eat it himself...there would be something primally satisfying about consuming the large animal you just bested with your bare hands.