Director-General moved fast to cover lives stigmatised (9)

I believe the answer is:

disgraced

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'stigmatised' is the definition.
Both the answer and definition are past participle verbs.
Perhaps they are linked in a way I don't understand?

'director-general moved fast to cover lives' is the wordplay.
'director general' becomes 'DG' (abbreviation in organisations eg the BBC).
'moved fast' becomes 'raced' (I can't explain this - if you can you should believe this answer much more).
'to cover' means one lot of letters goes inside another.
'lives' becomes 'is' ('be' can be a synonym of 'live').
'dg'+'raced'='dgraced'
'dgraced' enclosing 'is' is 'DISGRACED'.

Can you help me to learn more?

(Other definitions for disgraced that I've seen before include "Shamed, dishonoured" , "Suffering shame" , "In the doghouse?" .)

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