Step 1: Decode the eponyms first. VIPoma equals Verner-Morrison syndrome equals pancreatic cholera equals WDHA syndrome. The WDHA label itself spells out the dominant features.
Step 2: Expand WDHA: Watery Diarrhea, Hypokalemia, Achlorhydria. The leading W is watery, high-volume diarrhea that does not stop with fasting, frequently exceeding 3 litres a day.
Step 3: Mechanistically, the tumor floods the gut with VIP, which pumps chloride and water into the small bowel lumen, the definition of a secretory process. This nails the classical symptom as secretory diarrhea.
Step 4: The other choices are weaker associations: flushing affects only about a fifth of patients, steatorrhea is typically absent, and gallstones belong to somatostatinoma. So the diarrhea is the defining feature.
\[\boxed{\text{Secretory diarrhea}}\]