Final answer:
Proper nursing technique and precautions can prevent injury to a client's eye during administration of eye drops.
Step-by-step explanation:
The nursing action that prevents injury to a client's eye during administration of eye drops is to use proper technique and precautions. This includes washing hands thoroughly before and after administration, using gloves to protect both the nurse and the patient, and instructing the patient to keep their eye closed and avoid rubbing it after the drops are administered. Additionally, it is important to hold the dropper bottle or tube at a slight angle above the eye to prevent direct contact and minimize the risk of injury.