Crossword Genius

Member of tribe’s all right in here in church (8)

Ross

I believe the answer is:

cherokee

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'member of tribe's' is the definition.
Although both the answer and definition are singular nouns, I can't understand how they can define each other.

'all right in here in church' is the wordplay.
'all right' becomes 'ok' (synonyms).
'in' is an insertion indicator.
'in' indicates putting letters inside.
'church' becomes 'ce' (Church of England).
'ok' going within 'here' is 'heroke'.
'heroke' going inside 'ce' is 'CHEROKEE'.

Can you help me to learn more?

(Other definitions for cherokee that I've seen before include "Might the reek echo badly for the native American?" , "Could reek echo the native American?" , "one found with reservations?" , "Perhaps brave" , "One of the Iroquois people" .)

I've seen this clue in The Independent.
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