High probability outcome: she gets busted, but they decide to keep it a joint secret because, ya know, that's how meet cutes work. Nevermind that it would make her job a lot easier and be better for the order overall.
Low probability outcome: she doesn't get busted but explains it as noticing that bunny-chan likes being spoken to, or something equally silly, but they decide to keep it a joint secret because, ya know, that's how meet cutes work. Nevermind that it would make her job a lot easier and be better for the order overall.