Final answer:
Queen Rajyalaxmi desired to fulfill a specific goal with the help of Gagan Singh.
Step-by-step explanation:
Queen Rajyalaxmi desired to fulfill a specific goal with the help of Gagan Singh, but the question does not provide enough information to determine what that goal was. It is important to have more context or specific details about Queen Rajyalaxmi and Gagan Singh's relationship or historical period they were a part of in order to answer the question accurately.