I must be the only one using my .223 I use my 10/22 for squirrels and turtles.
A 22 would not be my first choice of caliber to take a coyote, but I guess it will work. Just look at all the deer in Indiana that are taken with a 22 each year.
depends on were you shoot it,if you get a head shot its just going to make it mad,but if youget a heart shot you may get lucky