Puzzled MP absorbed by new duties without one (7)
I believe the answer is:
stumped
'puzzled' is the definition.
(thesaurus)
'mp absorbed by new duties without one' is the wordplay.
'absorbed by' indicates putting letters inside.
'new' indicates anagramming the letters.
'without' suggests deleting specific letters.
'one' becomes 'i' (Roman numeral).
'duties' with 'i' taken away is 'dutes'.
'dutes' with letters rearranged gives 'stued'.
'mp' inserted into 'stued' is 'STUMPED'.
(Other definitions for stumped that I've seen before include "Out on the field" , "Bewildered (on the way out?)" , "Baffled" , "Dismissed" , "in perplexity" .)