Budgets, ensemble seating, and all class assignments (conducting or responsibilities) ran through me, the head. So yes, MY assistant. Maybe your program is different. In mine the assistant had only the authority to give grades to the students assigned to them in the grade book. I chose to delegate certain things but I sometimes made bad hires and I chose to delegate different things, (like they became a lessons teacher because they couldn't control a classroom but were great 1 on 1). Welcome to the adult conversation of how the world actually works. Some people are in charge and some people aren't. I'm a type A kinda person and in all my decades only had to ask 1 assistant to leave while having many of my assistants eventually take over their own programs.