keep a low profile

US /kiːp ə loʊ ˈproʊ.faɪl/
UK /kiːp ə loʊ ˈproʊ.faɪl/
"keep a low profile" picture
1.

to avoid attracting attention or publicity

:
After the scandal, he decided to keep a low profile for a while.
The celebrity tried to keep a low profile while on vacation.