"some basic rural living skills" in this context probably means things like being able to cook from scratch, use a shovel and a hoe, maybe milk a goat (certainly be able to tell a buck from a doe

). They are not looking for someone who has all of the skills that might be useful for rural life - no one person really has all of them.
Just off the top of my head - basic woodworking, metal working to include welding, small engine maintenance and repair, vehicle maintenance and repair, knot tying, cooking, first aid, slaughtering and butchering, animal husbandry, plumbing, electrical wiring, tool sharpening, meteorology, plant identification and care.
Lots more, someone earlier pointed to the permaculture manual as a guide to "rural skills", I think - it certainly lays out quite a few useful things, but it also leaves an enormous list of skills unspecified and rather presumed. But really, it's a pointless exercise to try and list them all

Just try to accumulate all the skills you can.