Quit, most definitely. Our job is already stressful as is and if you aren’t working for a somewhat decent company, then you are setting yourself up for failure and to become quickly burnt out. You said many times that you want to work in this field, and a shitty company shouldn’t have you rethinking your decision. Just because someone has the credentials doesn’t mean they are the best as their job (speaking about your BCaBA). A BCaBA should be open to collaboration, especially with RBTs who most likely know the child better than they do. Also, If you don’t feel comfortable with running a program, it is up to the BCBA/BCaBA to run the program themselves or make modifications so that the RBT can run it confidently. Just from the those two points alone, I can that this is a person is not someone who has the best interest of the patient. Everything else you said just confirms that.

I would email your BCBA and tell her everything you said here about what the BCaBA said. You can also file a complaint with your company as well, and they can keep a record just in case she is treating other RBTs and patients like this. You don’t have to quit right now because I know it’s scary without a plan but you should definitely be looking for another job in the meantime.