Can psychologists or therapists give instruction on medication?

I was seeing one psychologist for a short while for therapy. She told me that she specialized in medication even though she was not authorized to prescribe. I was on one medication that my actual psychiatrist had put me on. She instructed me to stop taking it, go to a physician she knew and get a prescription for a different specific medication and told me what dose to start at. This made me rather suspicious. Is this legal? She didn't write the prescription, but gave instructions on what to take, what not to take, and how much to take. I didn't think psychologists had any kind of authority to tell you to stop taking something. She seemed a bit crazy herself actually.