Sudeshna had her early training in classical music in Varanasi from the age of seven. Her formal training started under the guidance of Smt. Susheela Nadkarni (a disciple of Pt. Ratanjankar). Sudeshna went on to do her B.A.(Hons.) with Hindustani Classical Music and obtained a distinction in the same in 1966 from BHU, Varanasi.
She also undertook training in Rabindra Sangeet (Vocal) at Geet-o-bitaan, Kolkata. And also took training in classical from Late Ratanmoni Bhattacharya of Andul (ex-Principal of Midnapore Music College, West Bengal). Sudeshna continued to receive guidance later from Late Ustad Munawwar Ali Khan Saheb.
Sudeshna was one of the members who performed at Teen Murti Bhavan on the invitation of Late Mrs. India Gandhi in 1982 (the then Prime Minister of India) for a Tree Plantation Ceremony, and on Bengali New Year Day celebration at the Governor's house in Kolkata in 1983.
Her services to Rabindra Sangeet was recognised by Telugu University, Hyderabad and she was awarded a plaque by Late Shri N. T. Rama Rao (ex-Chief Minister of Andhra Pradesh) in 1986.
Sudeshna has been performing on AIR since 1968 and also on Doordarshan, Hyderabad where is settled. She is a life member of Gandharva Mahavidyalaya, Mumbai and has been associated as an examiner there. She also teaches music in the twin cities of Hyderabad and Secunderabad.