Noted my one was in hospital department (7)
I believe the answer is:
eminent
'noted' is the definition.
(eminent means famous or noted)
'was in hospital department' is the wordplay.
'was in' becomes 'emin' (I am not sure about this - if you are sure you should believe this answer much more).
'hospital department' becomes 'ENT' (abbreviation for Ear, Nose and Throat department).
'emin'+'ent'='EMINENT'
'my one' acts as a link.
This may not be right. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for eminent that I've seen before include "Lofty; famous" , "Respected; distinguished" , "Important" , "Met nine who were distinguished" , "Notable, outstanding" .)