Neat concept, though I feel that a bit more variety in cards would go a long way in adding to the experience. Right now there's always a very obvious optimal play, either to remove an illness or to raise low stats. Maybe some cards that give interesting trade offs could give more weight to player decisions.
Also, this is just one suggestion, but perhaps each turn you draw back to a full hand or at least have a way of drawing more cards? Right now you can easily get into a place where you only have one option. That's no good for player choice, which is what makes a card game interesting.
(I liked it though, these are just my criticisms.)