Final answer:
The most likely diagnosis for a white patch in the tonsillar pillar region of a heavy smoker that cannot be wiped off is leukoplakia.
Step-by-step explanation:
The most likely diagnosis for a white patch in the tonsillar pillar region of a heavy smoker that cannot be wiped off is 2) leukoplakia. Leukoplakia is a condition that causes thick, white patches to develop in the mouth, including the tonsils, due to the irritation of tobacco smoke. Unlike other conditions listed, leukoplakia cannot be wiped off and is commonly associated with smoking.