Proposed famous vampire’s victim should be incarcerated (9)
I believe the answer is:
nominated
'proposed' is the definition.
(nominating is a kind of proposing)
'famous vampire's victim should be incarcerated' is the wordplay.
'famous' becomes 'noted' (noted can mean well-known or famous).
'vampire's victim' becomes 'Mina' (character in Bram Stoker's Dracula).
'should be incarcerated' means one lot of letters goes inside another (inserted letters are imprisoned or incarcerated).
'noted' going around 'mina' is 'NOMINATED'.
(Other definitions for nominated that I've seen before include "Proposed as a candidate" , "mentioned specifically" , "Put forward for election" , "selected" .)