Goddess embraced by father, apparently (4)
I believe the answer is:
hera
'goddess' is the definition.
(Greek goddess)
'embraced by father apparently' is the wordplay.
'embraced by' says the answer is hidden in the clue (surrounding letters embrace the answer).
'HERA' is hidden within 'father apparently'.
(Other definitions for hera that I've seen before include "Divine consort" , "Regularly-deceived wife" , "Sister and wife of 18" , "Consort of Zeus" , "Greek goddess" .)