“I do think it would cause me grief to kill one, even if doing so was justified.”
Killing any animal for sport causes a bit of “reflection” in me - not grief, almost a sorrow but not quite. Respect I suppose.
But if it was an animal that was killing or had killed my livestock (if I had any) or pets, I would have no grief or reflection or respect. Except for the ones that it had killed.
The reason it would bother me to kill a wolf in particular is because I know they are social pack animals.
But yes, sometimes we must do what must be done.