Woman vicar oligarch’s protecting (5)

I believe the answer is:

carol

'woman' is the definition.
(woman's name)

'vicar oligarch's protecting' is the wordplay.
'protecting' says the answer is hidden in the clue.
'CAROL' is hidden in the letters of 'vicar oligarchs'.

(Other definitions for carol that I've seen before include "and 27: Waits" , "Song celebrating the birth of Jesus" , "Joyful hymn" , "Song, especially at Christmas" , "Joyful song - girl's name" .)

I've seen this clue in The Times.

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