Is it normal for a doctor to refer someone who's hearing voices to a psychologist and not prescribe meds?

Not normal, but....: The psychologist can determine if medication is needed. Auditory hallucinations are often a sign of a psychotic illness like schizophrenia that requires psychiatric medication, but I have seen several patients with dissociative disorders who complain about hearing voices, and the primary treatment for these patients is psychotherapy. Medication often eventually plays a role even for these patients.

Meds help: In most cases a person hearing voices needs meds to improve. Several different illness can cause hallucinations but need a careful differential diagnosis by a psychiatrist and probable meds.

Psychological Eval: Physicians often refer patients to psychologists to help understand what's going on for them and to the extent difficulties are interfering with their lives. Psychologists are trained to diagnose mental health conditions and problems of living. To do so, psychologists will use formal psychological tests (which they are uniquely trained to give), in addition to interviews.

Psychologist eval: Normally, I would refer the patient to a psychiatrist in case meds are needed. Pending on where the psychologist is practicing, they can prescribe only certain meds.