Cardinal Murphy O'Connor defies the Pope over the MP

Local action as appropriate: this may simply be ignoring the Cardinal's letter in practice.

The Cardinal demands that he be kept informed of all celebrations of the Traditional Mass, the other sacraments, and even the private recitation of the 1961 Breviary. Further, he claims that public Masses is only permissible 'under the guidance of the bishop', and that the judgement of pastoral need and a priest's ability to say the Mass belongs to the bishop. This is an attempt to retain a veto over the Traditional Mass, which the Holy Father's Motu Proprio deliberately and explicitly removes. These judgements are the preserve of the 'pastor'; bishops can no longer forbid priests from saying the Mass privately or, where there is any number of persons desiring it, as part of the public Masses offered in the parish. See Fr Z (who quotes the Cardinal's letter in full) and Damian Thompson.

We may not have to wait long for a follow-up document from Rome, to clarify matters.