protegee

A protegee is a woman or girl who receives guidance, training, or support from a more experienced or influential person, known as a mentor or patron.

The term implies a relationship where the older party takes special interest in advancing the younger's career or development.

While protégé (with the accent) applies to anyone regardless of gender, protegee specifically designates a female.

She was the conductor's protegee and eventually took over the orchestra.