Cassandra's projection reappeared right over her sleeping chamber, as close to her physical body as possible. Propriety dictated that when meeting someone of the Innkeeper's status, she should do so with her real body instead of a projection, but that wasn't possible.
She was put to sleep for more than one reason, and she would not be able to wake up even if she managed to get permission to enter the newborn realm. But there was an alternative she could use, which was to prepare a weak clone.
Even if she did not experience the new realm with her actual body, the benefits gained by the clone could be transferred to her main body through various means. That meant she'd be giving up on maximizing her gains, but such were the realities of life.
She did not have such a clone ready at the moment, so all she could do was conjure her strongest, most realistic projection to meet the Innkeeper.
