First of all being a presidents in an anarchial government is not democratical. In an anarchial government, protesters are people who want better governance, better social amenities and better lives for their children as well.

Protest can either be peaceful or violent and there is no where in the constitution of my country that states how to handle it.

However since you called it AN ANARCHIST GOVERNMENT I'll say I'll allow a protest to run it's full course provided it's not violent.

It's not a crime to protest in the constitution however if I'm a president in a anarchist government, I'll allow the protesters to run their protest if it's peaceful, but run arrests if it becomes violent and lastly would be to heed to the need of the people this will end the protest permanently