The correct answer is D. no article.
The article "a" or "an" is used before a singular noun that refers to a general or indefinite person, place, thing, or idea. In the sentence "The only thing you missed is his lecture," the noun "lecture" is singular and refers to a specific lecture that the listener missed. Therefore, no article is needed.
The article "the" is used before a singular noun that refers to a specific person, place, thing, or idea that has already been mentioned or that is unique. In the sentence "The only thing you missed is his lecture," the noun "lecture" is singular but does not refer to a specific lecture that has already been mentioned. Therefore, the article "the" is not needed.