Adult more desperate embracing married suitor (7)
I believe the answer is:
admirer
'suitor' is the definition.
(I've seen this before)
'adult more desperate embracing married' is the wordplay.
'adult' becomes 'a' (abbreviation).
'more desperate' becomes 'direr' (I've seen this in another clue).
'embracing' means one lot of letters goes inside another.
'married' becomes 'm'.
'direr' enclosing 'm' is 'dmirer'.
'a'+'dmirer'='ADMIRER'
(Other definitions for admirer that I've seen before include "Married (anag) -- lover" , "Supporter or fan" , "Fan or devotee" , "Married to one who thinks highly of" , "One who cherishes, like boy friend" .)