The query concerns the inaugural female Finance Minister of independent India. An examination of the provided choices is as follows:
- Indira Gandhi: Indira Gandhi, a significant political personality, held the position of Prime Minister of India. She also assumed responsibility for the Finance Ministry.
- Sarojini Naidu: Renowned as the "Nightingale of India," Naidu was primarily recognized for her activism and poetry; she never held the office of Finance Minister.
- Vijaya Lakshmi Pandit: She distinguished herself as a diplomat and achieved the milestone of being the first woman to preside over the United Nations General Assembly, but was not a Finance Minister.
- Rajkumari Amrit Kaur: Her role was that of the first Health Minister post-independence and she was a prominent freedom fighter, but she had no connection to the Finance Ministry.
Among the given individuals, Indira Gandhi is the sole person who served as India's Finance Minister. Consequently, the accurate response is:
Indira Gandhi