There are definitely people interested in medicine as well as its non-scientific sister discipline alchemy. You'll just have to ask around to find them or hope that they notice this post and comment.
With respect to the need for healing, safe to say it will be very important. But whether that means healers stationed with guards or simply a hospital is hard to judge at this point. A lot will depend on just how dangerous wilderness is, just how safe travel along roads will be and what kinds of injuries require a healer.