Man's expected to embrace daughter (4)
I believe the answer is:
dude
'man's' is the definition.
(dude is a kind of man)
'expected to embrace daughter' is the wordplay.
'expected' becomes 'due' (I've seen this before).
'to embrace' means one lot of letters goes inside another.
'daughter' becomes 'd'.
'due' enclosing 'd' is 'DUDE'.
(Other definitions for dude that I've seen before include "An American dandy out west" , "admirable man" , "Level" , "Dandy - US or Canadian city dweller" , "Fellow" .)