Longing to be executed by queen (6)
I believe the answer is:
hunger
'longing' is the definition.
(thesaurus)
'executed by queen' is the wordplay.
'executed' becomes 'hung' (hanging is a kind of executing).
'by' says to put letters next to each other.
'queen' becomes 'er' (abbreviation for Elizabeth Regina).
'hung'+'er'='HUNGER'
'to be' is the link.
(Other definitions for hunger that I've seen before include "Physiological need for food" , "Crave" , "Longing for food" , "Strong desire for food" , "ache" .)