The correct answer is option 3, Kerala. The Sustainable Development Goal India Index, 2020-21, released by NITI Aayog, ranked states based on their performance in achieving the United Nations` Sustainable Development Goals (SDGs). Kerala secured the first rank in this index.

Now, let`s analyze the other options:

Option 1: Himachal Pradesh. This state is known for its environmental initiatives and sustainable development practices. While it may have performed well, it did not rank first in the index.

Option 2: Tamil Nadu. Tamil Nadu is one of the most industrialized states in India. While it may have made progress in certain aspects of sustainable development, it did not secure the top rank.

Option 4: Goa. Goa is a small state with a significant focus on tourism. While it may have made efforts towards sustainable development, it did not rank first in the index.

In conclusion, Kerala ranked first on the Sustainable Development Goal India Index, 2020-21.