A Democrat, she represents the 35th district of the New York City Council, which covers parts of central Brooklyn.

She was quickly regarded as a frontrunner in the race, raising the most money of any candidate in the field and receiving influential endorsements from Congressmembers Hakeem Jeffries and Yvette Clarke, neighboring Councilman Brad Lander, and most of the city's major unions.

[8] The race was characterized by Gotham Gazette as "split[ting] the city's left," as Hudson similarly claimed "progressive" policy positions and endorsements, but was put on the defensive about her establishment ties and work for the controversial Cumbo.

[16] Hudson is openly gay, and lives in Prospect Heights with her partner, political strategist Sasha Neha Ahuja.

[2] Hudson served as the primary caregiver for her mother, who suffered from Alzheimer's disease, until she died in April 2021.