Gopalrao worked as a postal clerk in Kalyan. Later, he was transferred to Alibag, and finally to Calcutta (now Kolkata). He was a progressive thinker, and supported the education of women - then not very prevalent in India.
It was common for Brahmins to learn Sanskrit, but Lokhitawadi's Shat Patre had convinced Gopalrao that Sanskrit was no longer of much use. He considered English to be more important. He noticed his wife's interest in learning and helped her to learn English.
At the age of 14, Joshi gave birth to a boy. The child survived only for ten days, owing to the paucity of medical care available. This incident was a turning point in Joshi's life and inspired her to become a doctor.
Wilder published the correspondence in his publication, Princeton's Missionary Review. It was read by Theodicia E. Carpenter, a resident of Roselle, New Jersey, while waiting to see her dentist. She was impressed by Joshi's desire to learn medicine, and by Gopalrao's support for his wife. She wrote to them, offering accommodation to Joshi in America. This began a series of letters between Joshi and Carpenter, in which they discussed Hindu culture and religion, among other things.
While Gopalrao and Joshi were in Calcutta, Joshi's general health was declining. She suffered from weakness, constant headaches, occasional fever, and sometimes breathlessness. Carpenter sent her medicines from America, without results. In 1883, Gopalrao was transferred to Serampore. It was here that he decided to send Joshi to America alone. Joshi was apprehensive, but Gopalrao convinced her by saying that she should set an example for other women.
A Dr Thorborn and his wife, who was also a doctor, suggested Joshi apply to the Woman's Medical College of Pennsylvania. When Joshi's decision became known, she was rejected by Hindu society. She was spat at in public and had stones thrown at her. Many Christians supported her decision, but they wanted her to convert to Christianity.
Eventually, Joshi addressed the community at Serampore College Hall, explaining her decision to go to America and obtain a medical degree. She discussed the persecution she and her husband had endured. She stressed the need for Hindu female doctors in India, and talked about her goal of opening a medical college for women in India. She also pledged that she would not convert from Hinduism. After her speech was published, financial contributions started coming in from all over India. The Viceroy of India contributed 200 rupees towards funds for her education. However, the money was not enough, and Joshi had to sell her gold bangles to fund her travel and education.
Joshi began her medical education at the age of 19. In America, her already declining health was worsened by the cold weather and unfamiliar diet. She contracted tuberculosis. Her friends sent her to Colorado Springs for her health, but it failed to improve her condition.
She also submitted a thesis on "Obstetrics among the Aryan Hindoos". When she graduated with an M.D. on March 11, 1886, Queen Victoria sent a congratulatory message.
Joshi died in Poona at any early age of 22, in her mother's arms. Her death was mourned throughout India. Her ashes were sent to Carpenter, who placed them in her family cemetery in Poughkeepsie, New York.
A fictionalized account of her experiences was depicted in the Marathi novel Anandi Gopal, written by Shrikrishna Janardan Joshi. An English translation of "Anandi Gopal" is also available (ISBN 978-8185604008). A factual biography was written by Caroline Wells Healey Dall in 1888. Doordarshan aired a Hindi serial named "Anandi Gopal" directed by Kamlakar Sarang, based on her life.