How does the Anglican Church defend its legitimacy due to the circumstances of its founding?

The Anglican Church (AKA The Church of England) was founded in 1543, and still remains the primary denomination in England, and has made many important contributions, such as the King James Version of the Bible. However, the circumstances of its founding appear questionable. King Henry VIII wished to divorce Catherine of Aragon due to her "inability" to produce a son (even though the gender is primarily determined by the male). Upon the Catholic Church denying the divorce, he kicked out the Church and created a similar one with him as the head. Under these circumstances, how can the COE defend themselves as legitimate, when their founder only created the denomination for purposes of marital infidelity and divorce?