Step 1: Warthin-Finkeldey cells are multinucleated giant cells of the reticuloendothelial system, formed by fusion of infected cells.
Step 2: They are the classic histological hallmark of measles, appearing in hyperplastic lymph nodes early in the course of the disease. Under the microscope they look like a large grape-like cluster of nuclei.
Step 3: Measles virus invades the respiratory epithelium, replicates, causes viraemia, and spreads to the reticuloendothelial system, producing both Warthin-Finkeldey giant cells and epithelial giant cells. Hence the answer is Measles.
Step 4: The distractors are wrong: rabies is identified by Negri bodies, typhoid shows aggregates of macrophages (typhoid cells) in Peyer patches, and rubella has no Warthin-Finkeldey cells.