Native American quickly burying head in hands (6)
I believe the answer is:
apache
'native american' is the definition.
(I've seen this before)
'quickly burying head in hands' is the wordplay.
'quickly' becomes 'apace' ('apace' can be a synonym of 'quickly').
'burying' indicates putting letters inside.
'head in' suggests taking the first letters.
The initial letter of 'hands' is 'h'.
'apace' going around 'h' is 'APACHE'.
(Other definitions for apache that I've seen before include "A native N. American people" , "member of tribe" , "A peach of an Indian tribe?" , "language" , "Geronimo was one" .)