The vast majority of animals if not all of them kill other creatures, normally in very bloody, horrific ways and our ape cousins tend to kill and eat things that are still alive.
Our hunting is far more "humane" than any other animal's hunting, and since hunters eat/use the dead animal for resources/food, what is the problem? That people have fun doing it? That's called human nature.
“Anna, my strong, terrifying Anna.” -Cas
"You lack the requisite spine and testicular fortitude to study under me" -Elodin