Apart from the possible charges involved in discharging a firearm in city limits and the like, there are also possible wildlife violations.
I am told that in some states, only a wildlife officer or other commissioned peace officer may dispatch wildlife.
There are exceptions, for example in the case of protecting livestock and of course while legally hunting, but in general the best practical advice is apparently Shoot, Shovel, and Shut up, AKA the "SSS" theory.
Regardless of circumstances or caliber.
At least that's what I gather from discussions of matters like this over a long period.
Terry