Vermin control is self-defense. The Black Death demonstrated that pretty conclusively. Thus, I have no problem with it whatsoever. I kill bugs, too, without pangs of conscience, and if the threat to humans was as big and complex a form of life as a bear, it would make no difference to me. It is the human motive that matters.
I know a number of deer hunters who hunt for "sport" in that they do not eat their kill but donate the meat to food pantries. As some are given tags to kill a deer a day there is no possible way that they can eat all of that.
There are very few so called "sport" hunts where the animal is either not eventually eaten or where it is a form of pest control.
I feel guilty when I kill spiders - because they eat bugs. Anything that kills mosquitos is my friend.