Did the landowner say you couldn't dispatch it? Otherwise fox are fair game until Feb 15 I think, small game license to shoot or trapping license to trap. If it is killing your chickens they are fair game anytime, your allowed to protect your livestock from any animal except birds of prey.
Woods are OK for a coop, keep them shaded in the hot summer.
The homeowner said not to. They figure they have had a den there for some time and they are nature lovers. They don't want to see us spending money on the pasture and fancy birds just to have them killed. They already figured out how to dig under the electric fence.