Final answer:
The question that best determines patient satisfaction after hospitalization is regarding whether the nursing staff treated the patient with respect and maintained their privacy.
Step-by-step explanation:
The assessment question that allows an administrator to determine the level of patient satisfaction after hospitalization is: "Did the nursing staff treat you with respect and maintain your privacy?" This question focuses on the patient's personal experience with the nursing staff, which is a critical component of patient satisfaction. Aspects such as respect and privacy are central to a patient's comfort and overall satisfaction with the hospital stay. Questions about the ability to keep follow-up appointments, difficulties with prescriptions, or therapy sessions might indirectly relate to satisfaction but more directly address the effectiveness of post-hospitalization care coordination.