Leonard J. Arrington reports Adam S. Bennion's mention of 1954 deliberations on the priesthood restriction and that David O. McKay's fervent prayers on the matter concluded "without result."
Leonard J. Arrington, Adventures of a Church Historian (Urbana and Chicago, IL: University of Illinois Press, 1998), 183.
A special committee of the Twelve appointed by President McKay in 1954 to study the issue concluded that there was no sound scriptural basis for the policy but that the church membership was not prepared for its reversal. Research by Lowry Nelson, Armand Mauss, Stephen Taggart, Newell Bringhurst, Naomi Woodbury, and others, however, had prompted some Latter-day Saints to feel that the church was indeed spiritually prepared for a change. Personally, I knew something about the apostolic study because I heard Adam S. Bennion, who was a member of the committee, refer to the work in an informal talk he made to the Mormon Seminar in Salt Lake City on May 13, 1954. McKay, Bennion said, had pled with the Lord without result and finally concluded the time was not yet ripe.