Crossword Genius

Support given to female, one Socialist, worked out badly (9)

Ross

I believe the answer is:

backfired

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'worked out badly' is the definition.
I can't judge whether this defines the answer.

'support given to female one socialist' is the wordplay.
'support' becomes 'back' (to back is to support or endorse).
'given to' says to put letters next to each other.
'female' becomes 'f' (abbreviation).
'one' becomes 'i' (Roman numeral).
'socialist' becomes 'red' (red can informally mean a socialist).
'back'+'f'+'i'+'red'='BACKFIRED'

Can you help me to learn more?

(Other definitions for backfired that I've seen before include "Had a bad effect on the instigator of the action" , "Went wrong" .)

I've seen this clue in The Times.
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