Gaiutra bahadur wrote an autobiographic novel titled

The correct option is The collie woman.

Explanation:
Gaiutra Bahadur is a Guyanese-American writer and journalist. Her major work, Coolie Woman: The Odyssey of Indentured Labour (referred to in the options as "The collie woman"), is a highly acclaimed biographical and historical book published in 2013.
The novel is deeply personal and autobiographical in nature, as Bahadur traces the history of her own great-grandmother, Sujaria, who emigrated from India to Guyana in 1903 as an indentured plantation laborer. Through this personal family history, the book explores the broader, often overlooked history of indentured Indian women who migrated to the Caribbean under British colonial rule.

Context on the other options:
- An Era of Darkness: The British Empire in India is a acclaimed historical book written by Shashi Tharoor.
- Dauka Puran and Rama’s Banishment are works associated with Brij V. Lal, a prominent historian who wrote extensively on the history of the Indian indentured diaspora (particularly in Fiji).