In 1968, she graduated from the 189th secondary school of Baku and entered the Azerbaijan Medical University, where she received qualification of a professional physician.

In 1991, Shevket was officially enlisted by the Russian Prime Minister Ivan Silayev to work out the concepts of social policy of the country.

"[2][3] In January 1994, the last holder of the position, Lala Shevket wrote a resignation letter as a protest against corruption in the government.

Despite her subsequent appointment as ambassador to the UN, she refused to go to New York for 8 months, creating a precedent in world practice, as she could not represent policies that were unacceptable to her.

In 1995, Shevket founded the Liberal Party of Azerbaijan and became its leader after being elected at the Constituent Conference on 3 June 1995.

Additionally, approximately 50 candidates from the Liberal Party's ally, the "Azadliq" Bloc, were also denied their victory.

The Bloc has played a significant role in the opposition's struggle for democracy and human rights in Azerbaijan.