Final answer:
The nurse should prioritize administering IV antibiotics first when caring for the client with cellulitis of the right foot.
Step-by-step explanation:
The nurse should implement intervention a. Administer IV antibiotics first when caring for the client diagnosed with diabetes mellitus type 2 and admitted to the hospital with cellulitis of the right foot secondary to an insect bite. Cellulitis is a bacterial infection that requires prompt treatment to prevent further spread and complications. Intravenous antibiotics are the most effective way to rapidly deliver antibiotics to the infected area and fight the infection. This intervention should be prioritized to ensure the client's safety and effective treatment.