Partially fair-headed bird (4)
I believe the answer is:
rhea
'bird' is the definition.
(rhea is a kind of bird)
'partially fair-headed' is the wordplay.
'partially' says the answer is hidden in the clue.
'RHEA' is hidden in the letters of 'fair headed'.
(Other definitions for rhea that I've seen before include "Small 'ostrich'" , "Big bird" , "Large S. American bird" , "New World flightless bird" , "China grass" .)