A video of the lynching went viral on social media
The 57-year-old passed away at 3:10am on Sunday local time (9:10am Bangladesh time) at King’s College Hospital, Awami League Joint General Secretary Mahbubul Alam Hanif told bdnews24.com.
Diagnosed with cancer, Sheila was undergoing treatment at the hospital's intensive care unit for the last five days.
Awami League Presidium member Syed Ashraf and the couple's daughter Reema Islam was by her side when she breathed her last.
Born in a Gujrati family in London, Sheila graduated from the University of Nottingham.
President Md Abdul Hamid and Prime Minister Sheikh Hasina have expressed their condolences to the family.