An Argentine woman living illegally in the United States after overstaying her tourist visa will not be deported until the legality of her same-sex marriage is made more clear.

Judge Terry A. Bain and government attorneys agreed Tuesday to halt deportation hearings in Manhattan's immigration court for Monica Alcota, 35, who came to the United States from Argentina more than 10 years ago.

Alcota and Cristina Ojeda, 25, a U.S. citizen, were married in Connecticut in 2010 and are arguing that their marital status should allow Alcota permanent residency, their attorney, Lavi Soloway, said. The Connecticut Supreme Court has ruled that gay and lesbian couples have the right to get married.