Fr Gerard Galvin, a curate in Clonakilty in the Diocese of Cork and Ross, has refused to read out a letter at his Masses from the Bishop of Cork and Ross, Dr John Buckley.
Fr Galvin believes the Church should have responded to the abuse crisis with more action and less talk.
The Archbishop of Tuam, Michael Neary, has revealed allegations of child sexual abuse have been made against 19 priests in the Archdiocese since 1940.
Four priests were charged with criminal offences, three of whom were convicted of what are described as 'offences within the realm of child sexual abuse'.
Eight priests have stood aside from the ministry in the Archdiocese. Six of the priests are now dead.
The Archdiocese has also paid out almost €500,000 in compensation and legal fees to settle seven civil actions by child abuse victims.
Archbishop Neary said no priest is currently in ministry who is the subject of an investigation involving child sexual abuse.