The fear of having your photo taken is called a few different things such as scopophobia, scoptophobia, or ophthalmophobia.
The main medical term for having your picture or photo taken is scopophobia but it can be called other things such as the other above listed names.
Having fear of your picture taken or being looked at can be called things such as scopophobia, scoptophobia, or ophthalmophobia which are anxiety disorders that are characterized by a morbid fear of being seen or stared at by others.
Or having the fear and morbid fear of having your picture taken and then being stared at through those pictures.
For someone who has a fear of having their photo or picture taken it would be very hard to become a TV actor.