A female conductor is simply referred to as a "conductor," just like her male counterparts. The term "conductor" is gender-neutral and applies to anyone, regardless of gender, who directs an orchestra, choir, or other musical ensemble.
Historically, the role of a conductor was predominantly occupied by men, but that has changed significantly over time. Many talented and influential female conductors are now well-recognized in the field. They lead orchestras, choirs, and other musical groups with the same expertise and authority as their male peers. The focus in contemporary music and conducting is more on the skill and artistry of the conductor rather than their gender.
In summary, a female conductor does not have a different title; she is known as a conductor, and the term reflects her role and expertise in the field of music.