Final answer:
The nurse should advocate for the patient's wishes and arrange for another healthcare provider.
Step-by-step explanation:
The nurse in this situation should proceed by advocating for the patient's wishes and arranging for another healthcare provider. It is important for healthcare professionals to respect the autonomy and decisions of their patients, even if they personally do not agree. In this case, the nurse should support the patient's choice of palliative care to maintain their quality of life and ensure that another healthcare provider who is willing to provide the necessary care is arranged.