The Broadcasting Authority of Ireland has upheld two complaints about an RTÉ Liveline programme broadcast on 5 March.
A listener claimed that presenter Joe Duffy had harassed the editor of the Catholic monthly newspaper Alive and that callers to the show had also abused Fr Brian McKevitt.
The priest had written an article in the magazine in which he compared Taoiseach Enda Kenny to King Herod.
Another complaint against Liveline was rejected.
A listener had complained that an item about cannabis, which was broadcast on 4 February, had been biased and misinformed.
The BAI rejected a complaint about a Prime Time programme broadcast on 2 October, 2012.
A viewer had complained that an item on abortion had failed to be objective and impartial.
A second complaint about Prime Time was also rejected.
A complainant had claimed an item about ADHD, broadcast on 15 November, had lacked fairness, objectivity and impartiality.
The authority rejected a complaint about The Late Late Show.
A viewer had complained about a perceived lack of balance during an item about gay marriage, which was broadcast on 1 February.