Smitten gay men date heartless Trojan hunk (8)
I believe the answer is:
ganymede
'trojan hunk' is the definition.
(mythical character)
'smitten gay men date heartless' is the wordplay.
'smitten' indicates anagramming the letters (past tense of smite ie to smash).
'heartless' says to hollow out the word (remove centre letters).
'date' with its centre taken out is 'de'.
'gay'+'men'='gaymen'
'gaymen' is an anagram of 'ganyme'.
'ganyme'+'de'='GANYMEDE'
(Other definitions for ganymede that I've seen before include "Beautiful cupbearer to the gods" , "Trojan youth" , "Jupiter's largest moon" , "lovely youth" , "character 8 [OF SHAKESPEARE]" .)