The most common and most likely answer to this crossword clue is the 6 letter word GOVERN
I've seen this crossword clue in The Times
G
O
V
E
R
N
More clues leading to the result GOVERN
- Attempt revolution, rising against new command
- Good knight embracing maiden possibly gets control
- Run in training overnight
- New reverend returning to run what ministers do
- Rule in gaming over non-members
- Master having overnight cases
- Direct navy to support Tory minister
- Rule by force ended by noon
- What May must do with naval leadership rival?
- Run during training, overnight
Buddy explains!

The straight part
We know that "what ministers do" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case what ministers do = govern.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 GOVERN mean?
GOVERN noun- The act of governing
- To make and administer the public policy and affairs of; to exercise sovereign authority in.
- To control the actions or behavior of; to keep under control; to restrain.
- To exercise a deciding or determining influence on.
- To control the speed, flow etc. of; to regulate.
- To exercise political authority; to run a government.
- To have or exercise a determining influence.
- (grammar) To require that a certain preposition, grammatical case, etc. be used with a word; sometimes used synonymously with collocate.