The TARDIS, classy? Like it'd ever been anything close to that... although, it did mean there'd be far less mostly-unclothed human around, and that tended to be good in Romana's books.
"Do try not to get yourselves in too much trouble. I'd hate for the Doctor in the terrible coat to have to attempt to rescue us." That'd just end disastrously, she already knew. Call it an educated guess.