The correct answer is option 3, Sucheta Kripalani. Sarojini Naidu, option 1, was a prominent independence activist and poet, but she served as the President of the Indian National Congress and the Governor of the United Provinces, not as a Chief Minister. Vijaya Lakshmi Pandit, option 2, was the sister of Jawaharlal Nehru and served as the Ambassador of India to various countries, but she was not a Chief Minister. Jayalalithaa, option 4, was indeed a Chief Minister, specifically of Tamil Nadu, but she was not the first woman Chief Minister of a state. Sucheta Kripalani, option 3, was the first woman to hold the position of Chief Minister in India. She served as the Chief Minister of Uttar Pradesh from 1963 to 1967.