Journalist loses right to identify alleged adulterer (2-10)

I believe the answer is:

co-respondent

'alleged adulterer' is the definition.
(legal term from divorce cases)

'journalist loses right' is the wordplay.
'journalist' becomes 'correspondent' (correspondent is a kind of journalist).
'loses' indicates named letters should be taken away.
'right' becomes 'r' (common abbreviation).
'correspondent' with 'r' removed is 'CO-RESPONDENT'.

'to identify' acts as a link.

I've seen this clue in The Times.

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