Onward and out of the Forbiddances, then; he'll audibly repeat the Forbiddance passwords for each area, naming them as he goes. Time-dilation Forbiddance is full-clearance aka 'core', you obviously don't tell the password for it to anybody fully cleared; Keltham is only saying it out loud (relatively quietly) because it's quite bad if Carissa forgets or gets it wrong. People inside this Forbiddance, the 'inner' Forbiddance, don't know what this place is about; they cook and so on. The 'inner' Forbiddance has the rec room and library because uncleared people need a rec room too. This 'outer' Forbiddance is for dealing with people who don't know what the project is about and don't live here either, like Ri-Dul.
Occasionally one of the doomist women here will deliberately wander into the outer Forbiddance area where Ri-Dul can see her, wearing relatively less, with correspondingly false implications about what goes on inside the inner areas. This is to prevent Ri-Dul from ever desiring to sneak inside.
To be clear, he is not expecting Carissa to do that, and Ri-Dul would probably be suspicious of it anyways.