A priest worried by tramp (7)
I believe the answer is:
traipse
'tramp' is the definition.
(thesaurus)
'a priest worried' is the wordplay.
'worried' indicates anagramming the letters.
'a'+'priest'='apriest'
'apriest' with letters rearranged gives 'TRAIPSE'.
'by' is the link.
(Other definitions for traipse that I've seen before include "Plod - trek" , "Trudge or tramp in parties" , "make slow progress" , "travel wearily" , "Walk about wearily" .)