Anger following university doctor's offence (7)

I believe the answer is:

umbrage

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'anger' is the definition.
(I know that umbrage is a type of anger)

'university doctor's offence' is the wordplay.
'university' becomes 'U' (abbreviation for university).
'doctor' becomes 'MB' (Bachelor of Medicine, Medicinae Baccalaureus).
'offence' becomes 'rage' (I can't explain this - if you can you should believe this answer much more).
'u'+'mb'+'rage'='UMBRAGE'

'following' acts as a link.

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(Other definitions for umbrage that I've seen before include "Offence that's usually taken" , "Suspicion of injury" , "It''s given or taken in offence" , "The sulks" , "Take this to show offence" .)

I've seen this clue in The Independent.

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