Felt it had been dealt with (7)
I believe the answer is:
handled
'dealt with' is the definition.
('handle' can be a synonym of 'deal with')
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for handled that I've seen before include "Coped with" , "Dealt with" , "Touched - held" , "managed" .)