Perhaps Auntie's broadcast was on mink (9)

I believe the answer is:

kinswoman

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'perhaps auntie's' is the definition.
I can't tell whether this definition defines the answer.

'broadcast was on mink' is the wordplay.
'broadcast' indicates anagramming the letters (letters scattered or cast around).
'was'+'on'+'mink'='wasonmink'
'wasonmink' is an anagram of 'KINSWOMAN'.

Can you help me to learn more?

(Other definitions for kinswoman that I've seen before include "Relation" , "Female relative" , "one of the family!" , "Female family member" .)

I've seen this clue in The Independent.

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