Helpless — doomed (4)
I believe the answer is:
lost
I believe this is a double definition.
'helpless' is the first definition.
(I know that helpless can be written as lost)
'doomed' is the second definition.
(I know that doomed can be written as lost)
(Other definitions for lost that I've seen before include "See 8" , "TV show" , "Baffled" , "Mislaid or was defeated" , "Mislaid or astray" .)