Bishop Dermot Farrell appointed new Archbishop of Dublin Bishop Dermot Farrell of Ossory has been appointed Archbishop of Dublin. (Credit: Irish Catholic Bishops' Conference.) Bishop Dermot Farrell of Ossory has been appointed Pope Francis to be the new Archbishop of Dublin, replacing Archbishop Diarmuid Martin. LEICESTER, United Kingdom — Bishop Dermot Farrell of Ossory has been appointed by Pope Francis to be the new Archbishop of Dublin, replacing Archbishop Diarmuid Martin. Farrell, 66, has headed the Ossory diocese since 2018. “For the last three years I have been Bishop of Ossory where I have been very happy and fulfilled. As you will understand, I have a certain sadness in leaving Ossory, its priests and its people. However, I come in hope, and I am confident that I will also be happy in Dublin,” the bishop said on Tuesday.