If an animal, wild or domestic, damages or threatens to damage my property I first attempt to chase it off. If it returns I kill it. If it does not leave I kill it. There have been years when I had to shoot up to 11 raccoons in my chicken coop.
Would I shoot a coon in my house? Yes, with a .22, once I had him pinned down with something or cornered.
I don't hunt on my property as I want to keep a good stock of game if we are ever in need. If there is overpopulation of some kind I will will address it as needed to benefit the population.
As to being armed at all times when in the woods or otherwise. Why not?