Anerias ended up in a state of mental shock, and Zach and the others cut the meeting short so that Dukiel could help Anerias back to his dorm. But they had already discussed what needed to be discussed. Dukiel, Nessa, and Violina promised to keep Soara's identity a secret.
The odds of anyone knowing her name were low. But they weren't zero. It wasn't like they were the first ones to enter the Labyrinth of Syst. Derot was also working on mass-producing and distributing a board game inspired by the deities depicted in the Labyrinth.
So, if anyone asked, they were to answer with a random and new made-up name. It would make it obvious that they were hiding Soara's real name for whatever reason, which might catch interest in some. But it would make it more difficult for them to find out her real name.