Drozdova was born in Baýramaly in the Turkmen Soviet Socialist Republic in 1927.
[3] After the war, in 1950 Drozdova graduated from the Theatre Institute in Minsk,[3] and became an actress.
Drozdova performed in a number of roles including The Skylarks are Singing (1953), Sumka, polnaya serdets (1964) with Mikhail Pugovkin, Who Laughs Last (1955), and Nesterka (1955) with Erast Garin.
[1][4] Drozdova married the Soviet conductor Israel Borisovich Gusman,[5] and settled with him in Nizhny Novgorod.
[2] Beginning in 1957, Drozdova began performing at the Gorky Nizhny Novgorod Academic Drama Theater, where her memorial was held after her death.