Narayanasamy, who led the Congress government, resigned on Monday ahead of the confidence vote after his government was reduced to a minority following a spate of resignations of his party MLAs.
After two legislators leaving the party on Sunday, the government's numbers had dropped to 11 MLAs in the assembly where 14 is the majority mark.
The direction from the President comes amid the political crisis where the ruling Congress-led government has been reduced to a minority after one more MLA quit the party on Tuesday.
In the viral video, inside a map of India formed by students sitting on the periphery, several students in the centre were seen rushing towards the image of Babri Masjid to pounce on it and raze it.
The first woman IPS officer of the country was referring to the recent floods, the worst in a century, that battered the state.