Quader joined the judicial branch of the Bangladesh Civil Service and was appointed an assistant Judge on 11 December 1991.[2]
Quader was promoted to District Judge on 9 February 2015.[2] She is the vice-chairman of the Women Judge's Association of Bangladesh.[2]
Quader was appointed an additional judge of the High Court Division on 31 July 2022.[2][3] She and the 10 other newly appointed judges paid tribute to Sheikh Mujibur Rahman at his mausoleum in Gopalganj.[4] In November, Justice S. M. Kuddus Zaman and Quader granted conditional bail to two trustee board members of North South University, M. A. Kashem and Rehana Rahman, in a three billion BDT money laundering case.[5]
Justice S. M. Kuddus Zaman and Quader stayed a Digital Security Act case against singer Rita Dewan for "derogatory" comments about religion in January 2023.[6]