The translation "rural health" makes perfect sense. For example, I have lived in rural Missouri, and there are healthcare issues which rural communities face which can be quite significant. For example, if you live out in the country and call 911 it might take half an hour or more for the ambulance to get there (as opposed to, hopefully, a few minutes in the city). As another example, it is very hard for rural hospitals to attract well-educated specialists, and many of them are losing business to larger urban hospitals. Yet again, I have heard of a rural health program to provide children with vaccinations even if their parents cannot afford them / do not have insurance.
In other words, motley's suggestion of "rural health" is a well-understood phrase and fits the context to a T.