The problem with the article is that it is very short on facts. The letter, which is referenced, doesn’t appear in the link.
Secondly, we don’t know what Cardinal Ouillet actually said in his meeting.
If the Archbishop is defying a specific order, then, what typically happens, is he would be called to Rome. From there, he would take a “Time Out” in an Italian monastery.
Should he not straighten himself out, then excommunication hearings could begin. See Archbishop Emmanuel Milingo.