Each woman has a right to a key part (5)

I believe the answer is:

every

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'each' is the definition.
(synonyms)

'woman has a right to a key part' is the wordplay.
'woman' becomes 'eve' (Eve is an example).
'has' is a charade indicator (letters next to each other).
'a right' becomes 'r' (common abbreviation).
'to a key part' becomes 'y' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'eve'+'r'+'y'='EVERY'

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(Other definitions for every that I've seen before include "All possible; the utmost" , "All, taken separately" , "The best possible" , "Each (one of a set)" , "'God bless us - - one !'" .)

I've seen this clue in the Evening Standard.

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