One minister, I finally concluded, can work without discernment (14)
I believe the answer is:
indiscriminate
'without discernment' is the definition.
'one minister i finally concluded can work' is the wordplay.
'one' becomes 'i' (Roman numeral).
'finally' says to take the final letters.
'work' indicates anagramming the letters.
The last letter of 'concluded' is 'd'.
'minister'+'i'+'d'+'can'='ministeridcan'
'ministeridcan' with letters rearranged gives 'ndiscriminate'.
'i'+'ndiscriminate'='INDISCRIMINATE'
(Other definitions for indiscriminate that I've seen before include "Done at random" , "Sweeping" , "purposeless" , "Acting at random" , "Promiscuous" .)