Defining Protestant as one who believes: (i) the Bible (66 books) is the sole arbiter in matters of faith and behavior (sola scriptura), and (ii) mankind can be justified by faith in the perfect righteousness of Christ, which is imputed to the faithful (sola fide).
Anglicans believe that the Scripture, coupled with tradition and reason, are sources for matters of faith and behavior. Therefore, Anglicans are not Protestants under the above definition, correct?
Anglicans claim to be part of the One, Holy, Catholic and Apostolic Church. When Henry VIII removed the Pope's jurisdiction over England, the Anglican Church continued to function as before, with the same episcopal authority in p;lace. Later on, under his son Edward, the Church moved in a more Protestant direction. However, Edward died young, and Mary Tudor attempted to move the Church back under papal authority. Mary died, and Elizabeth I kept the Church independent of Rome. Within Anglicanism you have several different strains. One is Anglo-Catholic, or sort of a Romanized version of Anglicanism with Masses, veneration of saints, transubstantiation, etc. Another is the evangelical Anglicans who are Calvinistic in their doctrinal views. The Thirty-nine Articles of Religion in the back of the Book of Common Prayer (the Anglican missal) are Calvinistic. The broad church Anglicans generally have a foot in both camps and tend to be liberal. The liberalness of Anglicans in this country (Episcopalians) came to a head when the Book of Common prayer was modified and the Episcopalians began ordaining women. Today the Episcopal Church represents one of the most flagrantly liberal divisions of Anglicanism. It approves of "gay" marriages, etc. Bishop Schori, the current head of the Episcopal Church, is a woman, and has made such remarks as, "personal salvation is a western heresy." This has led to the fragmentation of Anglicanism in this country into several groups:
1. The Anglican Church in North America - moderately liberal, ordains women.
2. Anglican Catholic groups - groups which maintain their Catholic identity and do not ordain women.
3. Anglican Episcopal Church - representative of the evangelical wing of Anglicanism and preserving the 1928 Book of Common Prayer.
Hope this answers your question. All these groups have Apostolic Succession traced back to the Apostles (although Rome doesn't like to recognize it), giving Anglicans just as must "authority" as any other Catholic group.