text: It's certainly not a hospital. Either amenity=clinic or amenity=health_centre. Suspect it's a bit small to be a full clinic, but as services get devolved tagging will get more complicated. In principle the individual GP practices should be mapped as well. I'm sure there are several examples in Nottingham (e.g. Wollaton Vale Health Centre (3 GP practices IIRC + various clinics).
  
  My connection with the area is probably rather more distant than yours (1984 ::-)).