If a deer runs a coyote will chase it as will a dog will. I seen coyotes walk right between standing deer and not chase them, but I have also see them chase them to. I had one chasing a doe by me once he stop and lay down under my tree to rest as the doe went on. I arrowed him as he was laying about 25 yards from me. The first picture is a coyote and the second picture if not a deer is a dog. Look at there tail and color.