Proceed on horseback in American territory (6)
I believe the answer is:
canter
'proceed on horseback' is the definition.
(type of pace in horse riding)
'in american territory' is the wordplay.
'in' indicates a hidden word.
'CANTER' is hidden within 'american territory'.
(Other definitions for canter that I've seen before include "Lope" , "Gentle movement in bay, say" , "Pace of a horse between trot and gallop" , "Trance (anag) - horse's pace" , "Gait between a trot and a gallop" .)