Official Church manual Gospel Principles states that the Church is governed by the Priesthood, and that such governing positions can only be held by male members.
Chapter 14: Priesthood Organization, Gospel Principles (Intellectual Reserve, Inc., 2011)
The Priesthood Is on the Earth Today
The Church of Jesus Christ of Latter-day Saints is governed by the priesthood. The priesthood, which is always associated with God’s work, “continueth in the church of God in all generations, and is without beginning of days or end of years” (D&C 84:17). It is upon the earth today. Men young and old are baptized into the Church, and when they are judged worthy they are ordained to the priesthood. They are given the authority to act for the Lord and do His work on the earth.