In his blog, Canon Lawyer, Ed Peters give his thoughts on the appointment of Archbishop Burke to Apostolic Signatura, which Ed describes as, "(the Church's highest administrative law court, 1983 CIC 1445)."
Be sure to follow the link he has at the bottom, which leads to another blog, authored by reporter, Tom Szyszkiewicz. Then, after his own analysis, Tom supplies links to others with similar thoughts.
I know many of the Marian Catechists have been wondering if he will be able to maintain his leadership role for that organization. If someone hears anything, please let me know.