Minor Latin coins designed to impress distraught queen (15)
I believe the answer is:
inconsequential
'minor' is the definition.
(thesaurus)
'latin coins designed to impress distraught queen' is the wordplay.
'designed' indicates an anagram (designed with the letters).
'to impress' indicates putting letters inside (impress can mean enlist or recruit).
'distraught' indicates an anagram.
'latin'+'coins'='latincoins'
'latincoins' with letters rearranged gives 'inconstial'.
'queen' anagrammed gives 'equen'.
'inconstial' going around 'equen' is 'INCONSEQUENTIAL'.
(Other definitions for inconsequential that I've seen before include "Petty" , "unrelated to the foregoing" , "Trivial" .)