выставлять (чьи-то) неприличные вещи на всеобщее обозрение
She didn't mean to air his unmentionables during the meeting.
Она не собиралась выставлять его неприличные вещи на всеобщее обозрение во время встречи.
Definitions
To reveal or discuss someone's private, embarrassing, or sensitive matters, often in public or inappropriately. The term 'unmentionables' originally referred to underwear, so 'airing someone's unmentionables' is a figurative way of saying to expose things that are usually kept private.
