Allow reactionary extremists, resulting in things going off course (4)
I believe the answer is:
awry
'off course' is the definition.
(I've seen this before)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for awry that I've seen before include "Crooked- be wary" , "Askew, lopsided" , "Wrong -- twisted to one side" , "Wonky" , "Uneven, crooked" .)