Final answer:
The nurse should respect the patient's concern due to his PTSD by attempting to arrange for a different technician while not reinforcing any cultural biases.
Step-by-step explanation:
The most appropriate response by the nurse in this situation, considering the patient's PTSD and concerns, would be option 1) Let me see if I can arrange for a different technician to draw your blood. This response is respectful of the patient's current psychological state and attempts to accommodate his needs without endorsing his biased assumption. The nurse's priority is to provide care that is sensitive to the patient's mental health while maintaining professional integrity and avoiding the reinforcement of cultural bias.