I wouldn't use the hornet for coyotes unless I had tracking snow. The little 20 grain v-max bullet can't even get all the way through a full grown prairie dog at 100 yards. That tells me all I need to know.
This ^^^^^^^
17 Hornet will work, but I would rather use something bigger, like a 17 Mach IV or 17 Rem. Probably a good fox and bobcat cartridge. I would use a HP bullet also instead of a vmax.
And this ^^^^^^ cept I'd take Bobcat out of the equation,,, but a BIG +2 on the HP..
Depends on where you live but Bobcats can be every bit as big and certainly as hard to kill (if not harder) than a Coyote.