Barbara Morgan Gardner said that both men and women operate under priesthood keys and can have priesthood authority.
Barbara Morgan Gardner, "Connecting Daughters of God with His Priesthood Power," Liahona, March, 2019
Both women and men are delegated power and authority by those who hold priesthood keys.
Priesthood keys are “the authority God has given to priesthood [holders] to direct, control, and govern the use of His priesthood on earth.” President Dallin H. Oaks, First Counselor in the First Presidency, explains, “Every act or ordinance performed in the Church is done under the direct or indirect authorization of one holding the keys for that function.”
Women have authority to perform their callings, under the direction of one who holds priesthood keys, just as men do. President M. Russell Ballard, Acting President of the Quorum of the Twelve Apostles, stated, “Those who have priesthood keys … literally make it possible for all who serve faithfully under their direction to exercise priesthood authority and have access to priesthood power.”
President Oaks said: “We are not accustomed to speaking of women having the authority of the priesthood in their Church callings, but what other authority can it be? When a woman—young or old—is set apart to preach the gospel as a full-time missionary, she is given priesthood authority to perform a priesthood function. The same is true when a woman is set apart to function as an officer or teacher in a Church organization under the direction of one who holds the keys of the priesthood."