Hospital worker, possibly, left with little sign of hesitation (6)
I believe the answer is:
porter
'hospital worker' is the definition.
(I've seen this before)
'left with little sign of hesitation' is the wordplay.
'left' becomes 'port' (left side of a ship - opposite of starboard).
'with' is a charade indicator (letters next to each other).
'little sign of hesitation' becomes 'er' (short exclamation indicating hesitation).
'port'+'er'='PORTER'
'possibly' acts as a link.
(Other definitions for porter that I've seen before include "Doorkeeper; dark beer" , "One with a burden" , "Gatekeeper; beer" , "Black beer or hotel employee" , "Bag carrier in hotel or railway station" .)