Final answer:
The nurse's best response is to mention the patient's request to the doctor, showing support and professionalism without being dismissive or placing unnecessary burden back on the patient.
Step-by-step explanation:
The best response a nurse can give to a patient who asks to have their privileges changed to attend off-unit activities is: "I'll be glad to mention it when I see the doctor today." This response indicates a willingness to help and supports the patient's request in a professional manner. Whereas the other options are either dismissive or place the onus back on the patient, potentially ignoring the patient's current comfort level in communicating with the doctor.