this is on a deer, same concept for a coyote, have fun, get mad throw the coyote and make sure you have another one for a back up.... Coyotes are very thin skinned and there fore if you get your fingers up there and use to much pressure it will rip. If you get close to the sides you can blow out the sides of the ears but that is an easy sew job.
Best way to skin a yote is when it is in a semi frozen state, the skin comes off a lot easier and it keeps the smell down some...
Joe