Richard Williamson, who by Vatican standards, is not really a bishop, has sent a letter posted on his blog to the Cardinal [a real one] who serves as the mediator between the Vatican and Society of Pius X, the faction which rejects Vatican II.
He apologizes for the furor but not for his views.
Here is the full text of the letter:
To His Eminence Cardinal Castrillón Hoyos
Amidst this tremendous media storm stirred up by imprudent remarks of mine on Swedish television, I beg of you to accept, only as is properly respectful, my sincere regrets for having caused to yourself and to the Holy Father so much unnecessary distress and problems.
For me, all that matters is the Truth Incarnate, and the interests of His one true Church, through which alone we can save our souls and give eternal glory, in our little way, to Almighty God. So I have only one comment, from the prophet Jonas, I, 12:
"Take me up and throw me into the sea; then the sea will quiet down for you; for I know it is because of me that this great tempest has come upon you."
Please also accept, and convey to the Holy Father, my sincere personal thanks for the document signed last Wednesday and made public on Saturday. Most humbly I will offer a Mass for both of you.
Sincerely yours in Christ+Richard Williamson
Note no retraction. No acknowledgment that he got the history wrong. No apology for his overt antisemitism.
The Vatican response was the following: "The Vatican has asked nothing of Monsignor Williamson, who is not an 'ordinary bishop' of the Catholic Church."