The most common and most likely answer to this crossword clue is the 10 letter word CONSISTORY
I've seen this crossword clue in The Times
C
O
N
S
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Y
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The straight part
We know that "court" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case court = consistory.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 CONSISTORY mean?
CONSISTORY noun- A place of standing or staying together; hence, any solemn assembly or council.
- The spiritual court of a diocesan bishop held before his chancellor or commissioner in his cathedral church or elsewhere.
- An assembly of prelates; a session of the college of cardinals at Rome.
- A church tribunal or governing body, especially of elders in a Reformed church.
- A civil court of justice.