The most common and most likely answer to this crossword clue is the 6 letter word PRIORY
I've seen this crossword clue in The Daily Telegraph
P
R
I
O
R
Y
More clues leading to the result PRIORY
- Religious building in previous year
- Religious community like 7’s man?
- It dropped from highest place in monastery
- Enquire about current leading men in religious institution
- Previous enemy’s ending in house of prayer
- Religious building in earlier year
- Privilege of preferential treatment, the thing lacking in religious house
- Religious establishment earlier unknown
- Religious house in earlier years
- In preference it’s not included at church
Buddy explains!

The straight part
We know that "Religious building" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case religious building = priory.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does PRIORY mean?
PRIORY noun- A monastery or convent governed by a prior or prioress.