Harassed doggedly? (7)
I believe the answer is:
worried
'harassed' is the definition.
(thesaurus)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for worried that I've seen before include "Felt or caused to feel anxious or troubled" , "Was unduly anxious" , "Afraid" , "far from calm" , "Concerned, anxious, troubled" .)