Disinclination to shift hospital: greatly upset about that (8)
I believe the answer is:
lethargy
'disinclination to shift' is the definition.
'hospital greatly upset about that' is the wordplay.
'hospital' becomes 'h'.
'upset' indicates anagramming the letters.
'about that' is an insertion indicator.
'greatly' with letters rearranged gives 'letargy'.
'h' going within 'letargy' is 'LETHARGY'.
(Other definitions for lethargy that I've seen before include "Lack of energy and enthusiasm" , "Being sluggish" , "Extreme lack of energy, listlessness" , "Weariness" , "Lack of vitality or energy" .)