Yotes pretty well decimated our groundhog population.
I used to smack at least a dozen or so every summer. In '98, before coyotes had made it that far east, I spent the spring and summer up in Grainger Co. TN, and killed a truck bed full.
I can recall killing two since 2007. Of course, I'm long out of the habit of going out and looking for them.

Deer around here (at least grown ones) don't particularly seem to fret coyotes. I'm not saying that they won't eat fawns, just that there are typically easier protein sources available. I'm sure when one happens upon a very young fawn, it's lunch.

I've been meaning to take up semi professional coyote whacking in the years since, but that seems to require getting up early and dedicating more time and energy, as opposed to just going out late in the afternoon and shooting them like I always did with groundhogs.