Explanation:

- Rani Durgavati: She was known for her valiant defense of her kingdom, Garha Katanga, against the Mughal forces in 1564. Her bravery is legendary, and she died fighting to protect her land.

Correct Answer: Rani Durgavati

- Rani Avantibai: She was a queen of the Ramgarh state and known for her participation in the 1857 rebellion against the British, not against the Mughals.

- Rani Rudrambara: There is no significant historical record or legend widely recognized by this name, relating to battles against Mughals in 1564.

- Rani Ahilyabai: She was a remarkable ruler of Malwa in the 18th century and is known for her administrative skills and temple building, not for fighting Mughals.