Crossword Genius

Once the daughter has gone into church, admit it (7)

Ross

I believe the answer is:

concede

I'm a little stuck... Click here to teach me more about this clue!

'admit it' is the definition.
I can't tell whether this definition defines the answer.

'once the daughter has gone into church' is the wordplay.
I cannot quite see how this works, but
'daughter' could be 'd' (genealogical abbreviation) and 'd' is present in the answer.
'church' could be 'ce' (abbreviation for Church of England) and 'ce' is present in the answer.
an anagram of 'once' is 'cone' which is located in the remaining letters.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for concede that I've seen before include "Admit; surrender" , "Admit something is true" , "Acknowledge - abandon" , "Acknowledge defeat" , "Admit; yield" .)

I've seen this clue in the Evening Standard.
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