Fated to work on a new Dome! (6)
I believe the answer is:
doomed
'fated' is the definition.
(I know that fated can be written as doomed)
'work on a new dome' is the wordplay.
'work' becomes 'do' (synonyms).
'on' means one lot of letters goes inside another.
'a new' indicates anagramming the letters.
'dome' anagrammed gives 'omed'.
'do' put inside 'omed' is 'DOOMED'.
'to' acts as a link.
(Other definitions for doomed that I've seen before include "Fated" , "Condemned to destruction" , "Ill-fated" , "Damned or condemned" , "Condemned to failure" .)