Embarrassed about game lost in the end, girl fought back (8)

I believe the answer is:

revenged

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'embarrassed about game lost in' is the definition.
Although both the answer and definition are past participle verbs, I can't see how one could define the other.

'the end girl fought back' is the wordplay.
'the end' suggests removing the centre (I've seen 'ends of' mean this).
'girl' becomes 'Rose'.
'fought back' becomes 'venged' (I can't explain this - if you can you should give a lot more credence to this answer).
'rose' with its centre taken out is 're'.
're'+'venged'='REVENGED'

Can you help me to learn more?

(Other definitions for revenged that I've seen before include "Inflicted injury in retribution" , "Repaid (a wrong)" , "Requited; got one's own back" .)

I've seen this clue in The Hindu.

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