Deferred Removal for Iraqi Nationals Including Minorities Act of 2021 This bill defers the removal of qualified Iraqi nationals from the United States for two years from the date of the bill's enactment. To qualify, an Iraqi national shall (1) have been ordered removed to Iraq before the date of the bill's enactment, and (2) have resided in the United States on or before January 1, 2016. Aliens under removal deferral under this bill (1) shall be authorized for employment, and (2) may not be detained for immigration status-related reasons or for a motion by the alien to reopen removal proceedings. An alien shall not receive removal deferral under this bill where (1) the Department of Homeland Security determines that the alien is directly responsible for specific and significant harm to U.S. security, (2) the alien voluntarily returns to Iraq, or (3) the alien is subject to extradition.