Brief mistrust minister's up against (6)
I believe the answer is:
versus
'against' is the definition.
(as in one sports team versus another)
'brief mistrust minister's up' is the wordplay.
'brief mistrust' becomes 'sus' (I can't explain this - if you can you should believe this answer much more).
'minister' becomes 'rev' (short for reverend).
'up' says the letters should be written backwards (in down clue: letters go upwards).
'sus'+'rev'='susrev'
'susrev' in reverse letter order is 'VERSUS'.
Can you help me to learn more?
(Other definitions for versus that I've seen before include "Set against" , "taking part in team sports" , "Against in games" , "In opposition to" , "Against (another team)" .)