Page parish minister shortened (5)

I believe the answer is:

recto

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'page parish' is the definition.
'recto' can be an answer for 'page' (right-hand page of an open book). I am unsure of the 'parish' bit.

'minister shortened' is the wordplay.
'minister' becomes 'rector' (synonyms).
'shortened' means to remove the last letter.
'rector' with its last letter removed is 'RECTO'.

Can you help me to learn more?

(Other definitions for recto that I've seen before include "Side of paper" , "Odd-numbered page" , "front of leaf" , "The right-hand page or leaf of a book" , "right page" .)

I've seen this clue in The Telegraph.

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