My wife and I moved "out" to enjoy the wooded spaces, and peace & quiet, of nature during our upcoming retirement, but I'm not having coyotes living 40'-50' from our back door (literally) when we have two medium sized dogs that wouldn't stand a chance against them were they to ever come face to face.
And since we are paying the mortgage on the place, not the coyotes....natural or not, they have to go.