The Patient's Autonomy

You are a doctor treating a patient who will die without a blood transfusion. The patient is fully lucid and competent but refuses the treatment based on deeply held religious beliefs. Their family is begging you to perform the transfusion anyway, arguing the patient is not in their right mind due to their condition. The hospital's legal team says you would be protected from liability if you saved their life, but you would be violating the patient's explicit wishes.