Priest loses one in church (7)

I believe the answer is:

minster

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'church' is the definition.
(I know that minster is a type of cathedral)

I can't explain the rest of the clue.

(Other definitions for minster that I've seen before include "Large church (eg, York)" , "Large important church" , "Large church (or cathedral at York)" , "Old monastic cathedral, such as York's" , "Abbey or priory church" .)

I've seen this clue in The Irish Independent.

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