Amazingly doctor slips, hurrying out of hospital (12)
I believe the answer is:
surprisingly
'amazingly' is the definition.
(I know that amazingly can be written as surprisingly)
'doctor slips hurrying out of hospital' is the wordplay.
'doctor' is an anagram indicator.
'out of' suggests deleting specific letters.
'hospital' becomes 'h' (abbreviation for hospital on maps).
'slips'+'hurrying'='slipshurrying'
'slipshurrying' with 'h' taken out is 'slipsurrying'.
'slipsurrying' anagrammed gives 'SURPRISINGLY'.
(Other definitions for surprisingly that I've seen before include "Unexpectedly" , "Amazingly" .)