stick to your guns
US /stɪk tu jʊər ɡʌnz/
UK /stɪk tu jʊər ɡʌnz/

1.
to refuse to change your mind about something even when other people try to persuade you that you are wrong
:
•
Despite strong opposition, she decided to stick to her guns and pursue her original plan.
•
He's the kind of person who will always stick to his guns, no matter what.