Three other people are being sought for their alleged involvement in the plot, according to the government.
Dr Mtahabwa also noted that academic holiday camps remain prohibited under Education Circular No. 3 of 2007.
She said he had breathing difficulties before he collapsed and died in Nashua, New Hamsphire.
Lawmaker Asuman Basalirwa addressing journalists in Kampala said “Anita Among is the first victim” of likely sanctions.
In the meantime, the President said, government operations would continue under the guidance of Principal Secretaries and other relevant officials.
This August, Rwanda marks 20 years since its first deployment in a peacekeeping mission, in what has become one of Rwanda’s foreign policy pillars.