Churchman converts Dane (4)
I believe the answer is:
dean
'churchman' is the definition.
(I know that dean is a type of clergyman)
'converts dane' is the wordplay.
'converts' is an anagram indicator.
'dane' is an anagram of 'DEAN'.
(Other definitions for dean that I've seen before include "Cathedral dignitary; head of university department" , "school head" , "Clergyman; narrow valley" , "Resident fellow" , "Senior academic administrator" .)