The most common and most likely answer to this crossword clue is the 6 letter word PASTOR
I've seen this crossword clue in The Times
P
A
S
T
O
R
More clues leading to the result PASTOR
- Dad’s high point, becoming vicar
- Former old king’s minister
- Flock's leader goes off, a sheep's tail twirling
- Minister’s previous tour oddly cancelled
- Clergyman’s previous life with ordinary soldiers
- Shepherd almost over hill
- Clergyman to go off with fool to the north
- Historic military forces chaplain
- Father John, perhaps an alternative minister
- Minister ended with other ranks
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 = pastor.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 PASTOR mean?
PASTOR noun- A shepherd; someone who tends to a flock of animals.
- Someone with spiritual authority over a group of people
- A minister or priest in a church.
- The main priest serving a parish.
- A bird, the rosy starling.
- To serve a congregation as pastor