Move of bishop to China, not a fate that's rectified (10)
I believe the answer is:
fianchetto
'move of bishop' is the definition.
(type of move in chess)
'to china not a fate that's rectified' is the wordplay.
'not' suggests deleting specific letters.
'that's rectified' indicates anagramming the letters.
'to'+'china'='tochina'
'tochina' with 'a' removed is 'tochin'.
'tochin'+'fate'='tochinfate'
'tochinfate' is an anagram of 'FIANCHETTO'.
(Other definitions for fianchetto that I've seen before include "manoeuvre by bishop" , "bishop moving aside" .)