Haitian Deportation Relief Act This bill defers the removal of any national of Haiti who is physically present in the United States on the date of the bill's enactment. The deferral period shall last until the later of (1) the end of the emergency period in the United States stemming from the COVID-19 (i.e., coronavirus disease 2019) outbreak; or (2) the end of the COVID-19 emergency in Haiti, if such removals will not overwhelm Haiti's public health infrastructure. The Department of Homeland Security shall prioritize alternatives to detention for an alien whose removal is deferred under this bill, unless the alien poses a significant public safety risk.