Answer:
Sanatorium
Step-by-step explanation:
Sanatorium is a synonym for hospital.
- Rubicund means a reddish tint (think of Ron Weasley's reddish face)
- Per-exemption isn't a word.. but exemption means being counted out of something. (like if you don't have to pay taxes, you're exempt)
- Infirmity means sickness, not somewhere where the sick are treated.