Usually in such outcast places they have a room equipped for light surgery and some emergency procedures. You won't receive the same level of care that you would have in a proper hospital, but they should be able to at least do some "temporary fix" while transportation to a proper hospital is arranged if needed. Appendectomy shouldn't be a problem.
>but they should be able to at least do some "temporary fix" while transportation to a proper hospital is arranged if needed.
I believe the person you're responding to is moreso asking what would happen if it was during the months where no inbound or outbound transportation is possible.