Meaning of “budge” - Learner’s Dictionary

budge

verb [ I, T ] uk us /bʌdʒ/
MOVE

If something will not budge, or you cannot budge it, it will not move:

I've tried to open the window, but it won't budge.
CHANGE

If someone will not budge, or you cannot budge them, they will not change their opinion.

(Definition of “budge” from the Cambridge Learner’s Dictionary © Cambridge University Press)