She will, however, address the nation on TV on 19 September, the day the General Assembly meets. To be persecuted means to be treated very badly, often because of religion, race or political beliefs.
Mr Tillerson said it was a "defining moment" for Burma.
Egypt underlined the importance of holding an emergency meeting to stem bloodshed and suspend acts of violence in Rakhine State of Myanmar.
The additional $2.55 million is aimed at helping provide care for women, new mothers and children under five, International Development Minister Marie-Claude Bibeau said in a statement.
Nearly three weeks into a mass exodus of Rohingya Muslims fleeing violence in Myanmar, thousands are still flooding across the border in search of help and safety in teeming refugee settlements in Bangladesh.
But the refugees tell a different story.
"These people don't have the time to mourn". Instead, they blame the insurgents. "Each shelter will house six refugee families", he said, adding the camp would have proper sanitation, water and medical facilities.
She spoke at a regular briefing in Geneva that included comments from many UN agencies addressing the crisis in Bangladesh.
The Myanmar government said hundreds have died, mostly Rohingya "terrorists", and that 176 out of 471 Rohingya villages have been abandoned.
Human rights groups and the UN describe that "reaction" as ethnic cleansing.
"We are trying to bring this to the world's attention to put some pressure on governments".
In Yangon, presidential spokesman Zaw Htay said while Myanmar's military denied crossing into Bangladesh's airspace, the matter is being investigated.
"We don't block any organisations sending aid to those areas but they might have some difficulty travelling where access is restricted by local authorities for security reasons".
He asked Myanmar's defacto leader Aung San Suu Kyi to speak up against the atrocities and not fear the country's powerful military.
Last October, following attacks on border posts in Rakhine's Maungdaw district, security forces launched a five-month crackdown in which, according to Rohingya groups, around 400 people were killed.