The most common and most likely answer to this crossword clue is the 6 letter word CLERIC
I've seen this crossword clue in Independent
C
L
E
R
I
C
More clues leading to the result CLERIC
- Minister in vicious circle
- Priest’s circle needing reorganising
- Minister, say, curtailed action by computer user without hesitation
- Minister's peculiar circle
- Cycle rickshaw carrying dean, say
- Clergyman’s turning-circle
- Participating in miracle, rich minister of religion
- Minister welcomed by uncle Richard
- ‘Uncle Ricky’: deep down inside, a father
- Vicar in wrong circle
Buddy explains!

The straight part
We know that "Minister" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case minister = cleric.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 CLERIC mean?
CLERIC noun- A clergy member.