The correct answer is D. No article.
The word "year" is a non-count noun, which means it does not have a plural form and does not take a determiner (such as an article).
Here are some examples of non-count nouns:
- water
- sand
- rice
- information
- advice
In the sentence "She first met me . . . . . . . . year ago," the word "year" is used to refer to a period of time, not a specific year. Therefore, it does not take an article.
Here are some examples of how to use non-count nouns:
- I need some water.
- There is a lot of sand on the beach.
- I would like to buy a kilogram of rice.
- Can you give me some information about the new school?
- I would like to ask for your advice.
