On usual policy they could, in principle, tell Keltham that they're doing it on orders from Broom's god, so long as they don't tell him that Broom's god is specifically about world-destroying or multiverse-destroying threats and allow him to go on thinking that She's mostly about preventing giant flaming Wish craters. Rugatonn would have to review the disclosure that this move was on Broom's god's request, but she wouldn't necessarily say no.
Security also notes that Cheliax, of course, acts on only Asmodeus's orders, even if Asmodeus perhaps bargains with other gods as part of His business; even Otolmens surely would not dare to instruct Him so, or give Him orders to pass along, and the generosity of Her payment suggests that She bargained with Asmodeus from a position of weakness. To suggest that Cheliax is in any way acting on Otolmens's orders would be a lie, which Sevar is welcome to authorize explicitly.
Her assumption is correct, Security will depart as soon as Sevar wants to read the transcript.