Shoot a troublemaker in European city (8)
I believe the answer is:
'european city' is the definition.
(I've seen this before)
'shoot a troublemaker' is the wordplay.
'shoot' becomes 'bud' (I've seen this before).
'troublemaker' becomes 'pest' (I can't justify this - if you can you should believe this answer much more).
'in' acts as a link.
Can you help me to learn more?
(Other definitions for budapest that I've seen before include "Put beads in the city on the Danube" , "Put beads in the European city" , "Capital of Hungary" , "capital location" , "Hungarian capital" .)