Crossword Genius

Democrat given answer not right to lose heart (7)

Ross

I believe the answer is:

despond

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'lose heart' is the definition.
(thesaurus)

I cannot understand how the rest of the clue works.

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(Other definitions for despond that I've seen before include "Its Slough, Bunyan" , "Become disheartened" .)

I've seen this clue in The Times.
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