Visiting Budapest, a terrific capital (6)
I believe the answer is:
estate
'capital' is the definition.
(thesaurus)
'visiting budapest a terrific' is the wordplay.
'visiting' indicates the answer is hidden within the clue (the answer 'visits' the inside of the clue).
'ESTATE' is hidden in the letters of 'budapest a terrific'.
(Other definitions for estate that I've seen before include "park perhaps" , "Everything person possesses" , "All of one's assets and liabilities" , "Industrial area" , "Extent of one's property" .)