The donkey answer was not a joke. They hate coyotes and will kick the snot out of them. Lots of farmers here in Tennessee have just one or two in with their animals... near me they are with cattle, horses, goats and sheep that I can think of off the top of my head. You won’t have to worry about chasing the coyotes around with your mag light if you have one.
The night shooting with a mag-lite kind of made me very afraid for just about everything except the coyotes.