Tatyana Baeva was one of the few who gathered in the Red Square for a protest action in solidarity with the rebellious Prague in August 1968. There were eight demonstrators, but her friends persuaded the 21-year-old Tatyana Baeva to tell that she had happened to be there by accident and so she was released, while others were arrested. Further on Tatyana Baeva took part in the dissident movement.

She signed the petition on the 1st anniversary since intrusion in Czechoslovakia and a petition in defense of S.A.Kovalev (1976). For her dissident views she was subject to prosecutions, such as arrests, searches, interrogations, expulsion from the History and Archive Institute, a criminal case, which was soon stopped, etc. In 1992 she immigrated and now lives in New Jersey, the USA.