N African king’s daughter embraced by goddess (5)
I believe the answer is:
idris
'n african king's' is the definition.
(King Idris of Libya)
'daughter embraced by goddess' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'embraced by' is an insertion indicator.
'goddess' becomes 'iris' (Greek goddess of the rainbow).
'd' going inside 'iris' is 'IDRIS'.
(Other definitions for idris that I've seen before include "Last king of Libya" , "Legendary Welsh giant" , "Welshman" .)