That caliber will work just fine on coyotes.
When I switched from chasing, to calling, coyotes back in the '90s, I used a SKS, which is that caliber.
The things I would suggest you remember...the ballistics are similar to a 30/30 (IMO), so if you're sighted in for 100 yds, then your bullet will fall off quite a bit beyond 150 yds.
And, use soft points, or hollow points...not FMJ bullets.
The FMJ, are NOT a hunting bullet, will leave you with mostly coyotes hit, but running away...and will pass thru the coyote & richochet off even bare dirt.