Felipe Hoyos-Foronda, 38, was arrested last month at the airport.
Police said he was trying to flee to Colombia.
Prosecutors say that after he administered lidocaine to 31-year-old Maria Penaloza at his home in Queens she went into cardiac arrest and then became brain-dead.
Hoyos-Foronda was charged with assault and practicing without a license.
So far, there's no word on whether the Queens district attorney plans to upgrade the charges against him.