Universal anger shown about doctor giving offence (7)
I believe the answer is:
umbrage
'offence' is the definition.
(I've seen this before)
'universal anger shown about doctor' is the wordplay.
'universal' becomes 'u'.
'anger' becomes 'rage' (rage is a kind of anger).
'shown about' indicates putting letters inside.
'doctor' becomes 'mb' (Bachelor of Medicine, Medicinae Baccalaureus).
'u'+'rage'='urage'
'urage' placed around 'mb' is 'UMBRAGE'.
'giving' is the link.
(Other definitions for umbrage that I've seen before include "Take this to show offence" , "Indignation" , "It''s given or taken in offence" , "The sulks" , "Take this to feel offence" .)