McAllister was born in San Antonio on Feb. 16, 1923 and graduated from Virginia Theological Seminary in Alexandria. He was ordained to the diaconate Sept. 30, 1953 and married Helen Black Teague two days later. He was ordained to the priesthood on Sept. 24, 1954. He served in the Diocese of West Texas at Epiphany, Raymondville as a deacon from 1953-54, priest-in-charge at St. Francis, Victoria from 1958-63, canon to the ordinary from 1963-70, and rector of St. David’s, San Antonio from 1970-77. He was consecrated bishop of the Diocese of Oklahoma on April 15, 1977 and served there until 1989.
In his later years, McAllister served as a bishop-in-residence at the Episcopal Theological Seminary of the Southwest in Austin and chaplain to Clergy Families in the Diocese of West Texas from 1991-1993.
The funeral is set for 11 a.m. on Friday, June 13 at St. Mark’s Episcopal Church in San Antonio, Texas.
In addition, a memorial service is being planned for St. Paul’s Cathedral, Oklahoma City at a later date.