keep your head down
US /kiːp jʊər hɛd daʊn/
UK /kiːp jʊər hɛd daʊn/

1.
to avoid trouble or attention, especially by not drawing attention to oneself
:
•
During the office drama, I decided to keep my head down and focus on my work.
•
If you want to avoid getting into trouble, just keep your head down and do what you're told.