Thank you for helping so many people, including Billy.
That said, I think it might be a good idea for you and your program director to talk to Julie about the program and how it's not about teaching religion or blind obedience. She has no right to expect that of you or to expect that you will pretend to be Blue. It will be very sad if she yanks Billy from the program over that, but it won't be your fault and it won't be anything you can really do anything about.