Shroff began her professional career at age sixteen as a commercial print model. After seven successful years as a
model, she switched to acting. She got her acting start in Mumbai under the mentorship of
Pearl Padamsee. She then moved to study acting at
New York City's
Circle in the Square Theatre School. Soon after, she appeared at the Broadway Castillo Theatre, where she played several roles such as Nora in
Henrik Ibsen's ''
A Doll's House to German avant-gardist Heiner Müller. Her solo show, Show How to Succeed as an Ethnically Ambiguous Actor'' premiered at the Planet Connections Festival in June 2016. For that performance she has been nominated as Outstanding Solo Performer. Shroff has been a lifelong dancer, starting with the classical Indian temple dance,
Bharat Natyam for several years and moving onto jazz and modern as a young adult. She is a founding company member of the
Shiamak Davar dance company with whom she toured nationally doing musical theatre including playing Anita in
West Side Story,
Cabaret, and
A Chorus Line.
2017–present She has performed stand-up at the Guild Gallery, the Indo American Arts Council, Don't Tell Mama,
UCB and the South Asian International Performing Arts Festival. She went on to perform her show,
Show How to Succeed as an Ethnically Ambiguous Actor, with over 30 characters in and off-Broadway at the Castillo Theatre in a full run in the summer of 2017. Also in 2017, she was cast as
Kumail Nanjiani's mother in
The Big Sick, produced by
Judd Apatow. The cast was nominated for a
Screen Actors Guild Awards in 2018. She has appeared in the American
medical drama series
The Resident, American
political drama television series
Madam Secretary, and a recurring role as Priya Ullah in seasons 4 and 5 of
The Affair. In 2020, she voiced one of the many counselors named “Jerry”, in the
Disney-
Pixar film
Soul. In 2022, she was cast as
Muneeba Khan in the
Marvel Studios series
Ms. Marvel on
Disney+. She reprised the role in the 2023 film
The Marvels. == Personal life ==