The Rt Rev John Broadhurst, the Bishop of Fulham, accused the Church of England of breaking promises to make provisions for opponents of women's ordination.
He warned that the Pope's invitation to disaffected Anglicans to join the Catholic Church would appeal to traditionalists dismayed at their treatment.
His comments came as a parish in the Archbishop of Canterbury's own diocese became the first in the country to announce that it would defect to Rome, with one parishioner declaring: "The Pope's offer was the answer to our prayers."
St Peter's Church in Folkestone, Kent, has decided to join the Ordinariate, a system designed by the Vatican to allow Anglicans to convert while maintaining parts of their heritage.
Bishop Broadhurst, who announced his decision to resign on Friday, predicted that many more would leave the Church of England in the months ahead. Read more