Final answer:
The administrator should use Business process re-engineering to integrate the survey into current patient flow.
Step-by-step explanation:
The methodology the administrator should use to integrate the survey into current patient flow is Business process re-engineering.
Business process re-engineering involves rethinking and redesigning existing processes to improve efficiency and effectiveness. In this case, the administrator would need to analyze the current patient flow and identify areas where improvements can be made. By re-engineering the processes, the survey can be integrated seamlessly into the patient flow, ensuring it is conducted in a timely manner and does not disrupt the overall clinic operations.
For example, the administrator could revamp the check-in process to include the survey as part of the registration process. This way, patients can provide their feedback easily and without causing additional wait times or inconvenience.