Be with ministers, pray desperately for Church governance (15)

I believe the answer is:

presbyterianism

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'church governance' is the definition.
Although both the answer and definition are singular nouns, I don't understand how they can define each other.

'be with ministers pray desperately' is the wordplay.
'with' is a charade indicator (letters next to each other).
'desperately' indicates anagramming the letters.
'ministers'+'pray'='ministerspray'
'be' after 'ministerspray' is 'ministerspraybe'.
'ministerspraybe' with letters rearranged gives 'PRESBYTERIANISM'.

'for' acts as a link.

Can you help me to learn more?

(Other definitions for presbyterianism that I've seen before include "one sort of church organisation" , "faith" .)

I've seen this clue in The Telegraph.

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