"As soon as you know you can hit em....let it rip."
Agree. When the shot is good, take it. Great off-season practice for deer hunting too... Any kind of live-animal shooting during the off-season months is terrific practice, be it coyotes, rock chucks, or even Oregon sage rats.
While out with a new hunter last fall, I saw him looking intently through his scope at a stone-still coyote about 200 yards away. He was watching the coyote, it was watching him. The new hunter isn't used to scopes, and isn't used to seeing coyotes or any other kind of game. He really didn't know if he was looking at a coyote or not until it moved, leaving the area. Then it was too late. I figured if he shot it or not, it was good for him to at least be looking through the scope at game, for the first time in his life.
Don't beat yourself up about it. It's just a coyote, there are more.
Regards, Guy