Question of a woman's ability or long-established dominion (6)
I believe the answer is:
canada
'ability or long-established dominion' is the definition.
I can't judge whether this defines the answer.
'question of a woman's' is the wordplay.
'question of' becomes 'can' (I am not sure about this - if you are sure you should believe this answer much more).
'a woman' becomes 'Ada' (woman's name).
'can'+'ada'='CANADA'
Can you help me to learn more?
(Other definitions for canada that I've seen before include "Ottawa is its capital" , "North American nation" , "Queen Elizabeth is it's head of state" , "Country to north of USA" , "- Balsam; - goose" .)