My guess is even if the coyote isn't sick it wouldn't be "relocated".

I'm sure it wouldn't hang around a middle school with a bunch of loud kids running around.

Sadly, my uncle has a business of "thinning" the coyote population out near where my parents live. Mainly because there are lots of livestock ranches out there and the coyotes kill the livestock. I don't like it.....but there's nothing I can do. I'm not too fond of that uncle anyway.