Considered duties to be sorted out by daughter (7)
I believe the answer is:
studied
'considered' is the definition.
('study' can be a synonym of 'consider')
'duties to be sorted out by daughter' is the wordplay.
'to be sorted out' indicates anagramming the letters.
'by' means one lot of letters go next to another.
'daughter' becomes 'd'.
'duties' with letters rearranged gives 'studie'.
'studie'+'d'='STUDIED'
(Other definitions for studied that I've seen before include "Learnt by reading" , "deliberate" , "Examined" , "Tried to learn" , "Looked at closely" .)