If you have it zeroed to put the bullet in the center of the dot at 100 yards, then I'd say you're good out to about 200-250 yards. Bullet drop (depending on the exact load, of course) will still keep the bullet under the dot (bottom edge of it) out to about 200 yards; after that, you'll have to hold a bit higher, maybe completely off the animal.
Fold a sheet of standard paper (8.5"x11") in half, top to bottom, and use that as a "vitals" target for a broadside shot. Fold it again, side-to-side, for a front-facing chest vitals target. If you can keep the shots on those papers out to 200 yards, shooting from field-realistic positions, you're good to go.
Past 250, I'd start to worry more about the ballistics from your relatively short barrel, and how that would affect getting a clean kill, even with good hits. Coyotes can be tough, and we owe them the same effort to get a quick humane kill as any other game animal. That, and a 'yote is a pretty small, naturally-camouflaged target at 250+ yards; your eyesight in combination with the unmagnified sight may prove to be the final limiting factor. I prefer a low-powered scope for my AR carbine when chasing these critters.