(idiom) to show oneself in public, especially for someone for whom doing so is considered unseemly; historically used of women appearing in public, it now refers generally to appearing in the public eye, often with a slightly derogatory sense of seeking the limelight

To appear in a public setting or make a public appearance; to take the lead or initiative in public.

(variant form) to appear in public, often used to describe someone stepping out of seclusion or showing themselves in a social setting