Lunch changed for new religious organisation (6,2,7)

I believe the answer is:

church of england

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'religious organisation' is the definition.
'Church of England' can be an answer for 'organisation' (Church of England is an example). I am unsure of the 'religious' bit.

'lunch changed for new' is the wordplay.
'new' indicates an anagram.
'lunch'+'changed'+'for'='lunchchangedfor'
'lunchchangedfor' with letters rearranged gives 'CHURCH OF ENGLAND'.

Can you help me to learn more?

(Other definitions for church of england that I've seen before include "That's been established for a long time" , "Tories on their knees, it was said" .)

I've seen this clue in The Daily Mail.

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