That stands for the New York City Housing Authority, the nation’s largest public housing system that is home to 400,000 low-income residents.
Valerio and her mother had checked into a public housing apartment.
Subletting a government-subsidized apartment is illegal, WNYW reported.
In a statement to the television station, NYCHA officials said, "Illegal subletting of NYCHA apartments on Airbnb is prohibited by HUD regulations and by our lease agreements. We are investigating the matter."
It is also illegal for someone to rent an apartment for fewer than 30 days unless the host is present during the stay, the Times reported. That would make many Airbnb listings illegal, according to the newspaper.
Airbnb refunded Valerio's money, but she said she sympathized with the renter's intentions.
"It feels very awful," Valerio, 29, told the Times. "I grew up poor, and I know how hard it is to get housing."
There are about 177,000 people on the waiting list for an NYCHA apartment, the newspaper reported.
Josh Meltzer, the head of northeast policy at Airbnb, told the Times his company supported a stalled bill in the New York State Legislature that would prohibit short-term rentals in public housing and rent-regulated buildings.
Airbnb does not have any specific safeguards to prevent listings in public housing, but said it is the host's responsibility to comply with their lease when listed their home on Airbnb, the Times reported.