The woman says Opus Dei leaders told her they were asking the Chicago archdiocese’s permission for McCloskey to practice there. Opus Dei priests anywhere in the country remain under the auspices of Opus Dei, not of the dioceses they work in, but they do need a letter of permission from the local diocese to fulfill some priestly duties. In 2009, the Chicago archdiocese renewed McCloskey’s faculties — the term for his permission to practice as a priest, including celebrating Mass. A letter from the then-vicar for Opus Dei in the Midwest: Armenio. Finnerty, the Opus Dei spokesman, tried on Wednesday to explain Armenio’s conduct.