In 1991 alongside Eduard Shevardnadze, Alexander Yakovlev, Sobchak, Popov, Brazauscas and other democrats Shevket was one of the founders of the Movement for Democratic Reforms in the USSR. The same year she founded the International socio-political movement "For Democratic Reforms in Azerbaijan Republic and Protection of Human Rights", which became the first international political organization of a national republic of the union officially recognized by the Soviet government. Representations of this organization were founded in Azerbaijan as well as other Soviet republics and countries of Western Europe.