Final answer:
The nursing student should request the primary care nurse to verify the patient's identity and secure an identification wristband prior to administering medication to maintain patient safety and adhere to identification protocols.
Step-by-step explanation:
The nursing student should take appropriate steps to ensure patient safety and accuracy of identification before administering any medication. The correct action to take next is to ask the client's primary care nurse to properly identify the client and place a client identification wristband on the client before administering medication. This action ensures adherence to proper protocols concerning patient identity verification, which is a critical component in delivering safe and effective healthcare. By doing so, the nursing student is exercising due diligence and mitigating the risk of medication errors.