Bird embracing hawk-headed god's attribute (5)
I believe the answer is:
trait
'attribute' is the definition.
(trait is a kind of attribute)
'bird embracing hawk-headed god's' is the wordplay.
'bird' becomes 'tit' (tit is a kind of bird).
'embracing' is an insertion indicator.
'hawk-headed god' becomes 'ra' (Egyptian god).
'tit' going around 'ra' is 'TRAIT'.
(Other definitions for trait that I've seen before include "Decorative band" , "Quirk" , "Distinguishing characteristic of personality" , "Distinguishing feature" , "Feature of personality" .)