Addressing a teacher with Dissociative Identity Disorder (DID) can be approached in a respectful and sensitive manner, taking into consideration the person fronting at the moment. Fronting refers to the alter or identity that is currently in control of the individual's behavior and consciousness.
Since the alters in DID may have their own names or identities, it would be considerate to use the name or title preferred by the alter who is currently fronting. If the teacher has communicated their different identities to their students or colleagues, it is important to use the appropriate name or honorific for each identity.
For example, if the teacher has an alter named "Anna," and another alter named "Mr. Johnson," students and colleagues could address them as "Anna" when the alter "Anna" is fronting, and as "Mr. Johnson" when the alter "Mr. Johnson" is fronting.
The key is to be respectful, understanding, and follow the teacher's preferred method of communication and addressing their alters. Open communication between the teacher and their students or colleagues can help create a supportive and inclusive environment for everyone involved.