Unless you're sitting in ambush outside, the odds are 99.9% against your seeing a coyote in time to get a shot. You can't hear the noise of an attack and open the door and take a shooting position before Ol' Wily is long gone.
Common sense says to not take a shot at all, if a miss could result in a ricochet. Don't take any shot with anything, if it's not in a safe direction.
In all honesty, I'm not particularly caring about a clean and ethical kill on a marauding predator. In the boonies, calling coyotes, I have a different attitude, but around the children, house pets or a flock of chickens, shame on Wily.
Better to wound with a .22 and know there is less liklihood of an Oops! than with a .30-30, given that those are the choices...