She grew up with (half) brothers. Carolina is certainly familiar with superhero basics, if nothing else.

The posture change works. She can see the lines of his own personal military history in it, snapping a nod in reply to his 'yes ma'am', and she even gives him a headstart down the hallway before stepping back into the room and quickly gathering up his clothing, tossing it into a sports bag she'd saved for such an occasion. She can easily excuse it as her own if questioned - and she is expecting questions once downstairs.

By the time she's done, and exiting the room, it's just in time to see York enter the elevator - she'll catch the next one. For one thing, it's less suspicious. For another, it'll provide him with lead time.