[citation needed] Kapur started her teaching career as lecturer in English in Delhi University's Bharati College.

[4] During her student days, she had been a member of the theatre group Dishantar led by Om Shivpuri, and acted in a number of plays, including Adhe-Adhure by Mohan Rakesh.

She obtained leave from the college to study for a master's degree in drama and theatre arts at the University of Leeds, UK, where she eventually completed a Ph.D.

Some of the people she has worked with are Arpita Singh, Bhupen Khakhar, Madhusree Dutta, Nalini Malani, Nilima Sheikh and Vivan Sundaram.

She is one of the founding members of Vivadi, a working group of painters, musicians, writers and theatre practitioners.

"[10] Most recently, Kapur has ventured into a new genre - opera - with an international team assisting her in the production "Daughters", staged in Delhi in January 2020.