Nasty death drew on, making one dejected (11)
I believe the answer is:
downhearted
'one dejected' is the definition.
(thesaurus)
'nasty death drew on' is the wordplay.
'nasty' indicates an anagram.
'death'+'drew'+'on'='deathdrewon'
'deathdrewon' with letters rearranged gives 'DOWNHEARTED'.
'making' acts as a link.
(Other definitions for downhearted that I've seen before include "Sad" , "Dejected" , "Depressed" .)