It so depends on the climate where it's located. You probably wouldn't need winter insulation & summer shade & heat-fighting measures that would be needed here. Rain protection of course. Making sure the wood can't get urine-soaked.
Depending on local laws you might be able to do something along the lines of a 4m x 4m x 2m fully enclosed (including roof) chain-link fence. This could then have a nice hut inside the fence. Basically would be a nice enclosed space space outside which would protect from predators. You would also need a dig-proof area under the perimeter of the fence. Of course you could scale this type of thing as needed.