The most common and most likely answer to this crossword clue is the 6 letter word DEACON
I've seen this crossword clue in The Daily Telegraph
D
E
A
C
O
N
More clues leading to the result DEACON
- Head of chapter restricts company for church officer
- One churchman or another entertaining company
- Clergyman receiving company of clergyman
- Inside a convent shelters a churchman
- Company brought in by one churchman or another
- One churchman or another going round Colorado
- Minister in landslide, a Conservative
- Plan holy image without introductions being a cleric
- Code an upset cleric
- One minister and another holding firm
Buddy explains!

The straight part
We know that "One churchman" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one churchman = deacon.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 DEACON mean?
DEACON noun- (Church history) A designated minister of charity in the early Church (see Acts 6:1-6).
- (Orthodoxy and Roman Catholicism) A clergyman ranked directly below a priest, with duties of helping the priests and carrying out parish work.
- Free Churches: A lay leader of a congregation who assists the pastor.
- Anglicanism: An ordained clergyman usually serving a year prior to being ordained presbyter, though in some cases they remain a permanent deacon.
- Methodism: A separate office from that of minister, neither leading to the other; instead there is a permanent deaconate.
- A junior lodge officer.
- The lowest office in the Aaronic priesthood, generally held by 12 or 13 year old boys or recent converts.
- (animal husbandry) A male calf of a dairy breed, so called because they are usually deaconed (see below).
- The chairman of an incorporated company.
- For a choir leader to lead a hymn by speaking one or two lines at a time, which are then sung by the choir.
- (animal husbandry) To kill a calf shortly after birth.
- To place fresh fruit at the top of a barrel or other container, with spoiled or imperfect fruit hidden beneath.
- To make sly alterations to the boundaries of (land); to adulterate or doctor (an article to be sold), etc.