Fed back to the beginning in dextrous style (4)

I believe the answer is:
deft
'beginning in dextrous style' is the definition.
Both the definition and answer are adjectives. Maybe they are linked in a way I don't understand?
'fed back to the' is the wordplay.
'back' shows that the letters should be reversed in order.
'to the' becomes 't' (the is pronounced as a 't' sound in some dialects).
'fed' in reverse letter order is 'def'.
'def'+'t'='DEFT'
Can you help me to learn more?
(Other definitions for deft that I've seen before include "Adriot and skilful" , "Handy" , "Quick and skilfull" , "Adroit, dexterous" , "Dextrous" .)
