The correct answer is option 2, Annie Besant. The Theosophical Society was founded in 1875 by Helena Blavatsky and Henry Olcott. After Blavatsky`s death in 1891, Annie Besant played a crucial role in reviving and reinvigorating the society. Besant was a prominent British activist and writer, who became deeply interested in Theosophy and eventually became the President of the Theosophical Society. She dedicated her efforts to expand the society`s influence and promote its teachings, such as the search for spiritual truth, the unity of humanity, and the exploration of mystical and esoteric knowledge. While Mother Teresa, Florence Nightingale, and Sarojini Naidu are all significant figures in their own right, they were not directly involved in the revival of the Theosophical Society.