Final answer:
A nursing student should question giving immunizations to a child with a severe febrile illness, as it could worsen the child's condition. Mild illnesses typically do not require postponing vaccines.
Step-by-step explanation:
When administering immunizations to children, a nursing student should be cautious about giving vaccines to a child with a severe febrile illness. This is because the stress of the vaccine on the immune system could exacerbate the child's current condition. Children with a mild illness, such as a cold, otitis media (middle ear infection), or mild diarrhea, can generally receive vaccines as per the CDC guidelines. However, for conditions like severe febrile illnesses, it's advisable to postpone the vaccination until the child has recovered.