Spotlight claimed it was carried out by the Provisional IRA, although the dissident group the Real IRA admitted responsibility three years later.
Ms O'Leary was cross-examined by counsel for Mr Adams, Tom Hogan.
She told him she did not treat the allegation "willy-nilly".
Ms O'Leary stated she had more than 60 meetings after interviewing Martin and had his claim "corroborated" by five other sources, although they did not appear in the broadcast.
"I wouldn't be here if I couldn't stand over the programme," she said.
Mr Hogan put it to her she was defending her journalism, but not the truth of the allegation against Mr Adams.
She replied: "I'm here defending the allegation that Martin made on the basis of five additional sources.
"The points of law on which the case is being defended are points of law."
She went on: "An allegation is an allegation.
"Any reasonable person watching the programme would know we are making an allegation.
"Straight after the allegation was made we reflected Mr Adams' denial."