The correct answer is D. Gulbadan Begum.
Gulbadan Begum was the daughter of Babur, the founder of the Mughal Empire, and his wife Maham Anga. She was a prolific writer and is best known for her memoir, Humayun Nama, which is a first-hand account of the life of her father and brother, Humayun. The Humayun Nama is an important source of information about the early Mughal Empire and is considered to be a classic of Indo-Persian literature.
Nur Jahan was the wife of Jahangir, the third Mughal emperor. She was a powerful and influential figure at the Mughal court and is credited with playing a major role in the development of Mughal art and architecture. However, she is not known to have written any biographies.
Jodha was the wife of Akbar, the fifth Mughal emperor. She was a Rajput princess and is considered to be one of the most important figures in Mughal history. However, she is not known to have written any biographies.
Anarkali was a courtesan who is said to have been the lover of Akbar. She is a popular figure in Mughal legend and is often depicted in films and television shows. However, there is no historical evidence to support the claim that she was Akbar’s lover or that she wrote any biographies.