Gut shot deer don't leave much sign. Kick them up and it will be tough to find. Shoot it again? Bedded down changes all the angles. You hit it anywhere but perfect and it is off an running and you cant keep up with it forever with a flashlight. You quickly end up on a body search. Then forced to leave until tomorrow, you have no place to start. If you leave the deer alone, at least you can start where you saw the eyes and hope the coyotes didn't get it.

Coyotes might get it but I'd play the odds every time and leave. If the Yotes get it, make a better shot next time.

I've done this for years and have only had one deer eaten by coyotes. That was in three hours. You might have more coyotes but to up my chances I'd play the odds and let it lay.

Greg