Greatly disturbed about hospital inertia (8)
I believe the answer is:
lethargy
'inertia' is the definition.
(I've seen this before)
'greatly disturbed about hospital' is the wordplay.
'disturbed' indicates an anagram.
'about' is an insertion indicator.
'hospital' becomes 'h'.
'greatly' is an anagram of 'letargy'.
'letargy' enclosing 'h' is 'LETHARGY'.
(Other definitions for lethargy that I've seen before include "Being sluggish" , "Drowsy" , "Unnatural drowsiness" , "Lassitude, sluggishness" , "Extreme lack of energy, listlessness" .)