The Irish government is expected to survive a confidence motion over its handling of fuel protests.
It is the second year Sinn Féin has boycotted St Patrick's Day events at the White House.
At least seven Irish citizens are understood to have been on board intercepted boats carrying aid to Gaza.
Mary Lou McDonald was speaking at the Labour party conference in Liverpool.
Speaking on RTÉ's Morning Ireland, the Sinn Féin leader says her name is "no longer in the mix".
Mary Lou McDonald insisted the party was not split in its decision on whether or not it will run a candidate or if it will support another candidate from outside the party.
Enda McClafferty looks at the questions Sinn Féin has to answer ahead of the Irish presidential election later in the year.
It is a shift from her position in March when she ruled herself out of the running.
Michael D Higgins laid a wreath outside the GPO to commemorate those who died in the rebellion.