Greeted in hospital - wasn't well (6)
I believe the answer is:
hailed
'greeted' is the definition.
(hailing is a kind of greeting)
'hospital wasn't well' is the wordplay.
'hospital' becomes 'H' (abbreviation for hospital).
'wasn't well' becomes 'ailed' (to ail is to be ill).
'h'+'ailed'='HAILED'
'in' acts as a link.
(Other definitions for hailed that I've seen before include "Signalled and summoned, say a taxi" , "Called, a cab say" , "Called out to attract attention" , "Greeted or sginalled to" , "Came down in frozen pellets" .)