In 1970, she was elected first-deputy of the People's Assembly (Albanian: Kuvendi Popullor).

She was in member of the parliament from the seventh to the eleventh legislative term which ended in 1991.

On 25 January 1983, she was also secretary of the Central Committee of the Party and also exercised this function until December 1990.

[4] In 1993, a special court was brought against Çuko, and nine other former senior officials of the Party: Muho Asllani, Besnik Bekteshi, Foto Çami, Hajredin Çeliku, Vangjel Çërrava, Llambi Gegprifti, Qirjako Mihali, Pali Miska, and Prokop Murra.

[6][7] In July 1996, another charge for "crimes against humanity" was brought against Çuko, Llambi Gegprifti, and Irakli Vero and others, all high rank officials who had served as first secretary in local government bodies.