Clint's true to his word, putting a hearing aid back in with one hand while he (slowly, carefully, letting Nat see every move and scrutinize it and judge it non-threatening) retrieves his wallet with the other. Flipping it open, he shows her the Avengers ID with his photo on it. His in-costume photo (no, it's not the Hawkskirt, unless Jim somehow pranked him hard). "There. Avengers ID. Stark cooked 'em up. You've prob'ly got something similar."