I have nothing to a add about the coyote but I saw your post about your dog not liking the vet and I just wanted to say I hope it's going better ):

And also that if anything the coyote should be the scared one lol. Coyotes like the roam at night and early in the morning I think, that's the only time I've seen them. Never had any problems with them, just don't be leaving small pets or kids outside and they don't bother anyone.