A pioneering woman scientist from Karnataka who worked at NASA:

Sunita Williams
Kalpana Chawla
Tessy Thomas
Nandini Harinath

The correct answer is C) Tessy Thomas.

Tessy Thomas is an Indian aerospace engineer and the director of the Advanced Systems Laboratory (ASL) of the Defence Research and Development Organisation (DRDO). She is the first woman scientist to head a missile project in India. She is known for her role in the development of the Agni missile.

Sunita Williams is an American astronaut and engineer. She is the first Indian-American woman in space. She has flown on four space shuttle missions and has logged over 500 hours in space.

Kalpana Chawla was an Indian-American astronaut and engineer. She was the first Indian woman in space. She was killed in the Space Shuttle Columbia disaster in 2003.

Nandini Harinath is an Indian-American computer scientist and entrepreneur. She is the co-founder and CEO of the company Enlitic. She is known for her work on artificial intelligence and machine learning.

Tessy Thomas is the correct answer because she is a pioneering woman scientist from Karnataka who worked at NASA. She is the first woman scientist to head a missile project in India. She is known for her role in the development of the Agni missile.