Officers tracked down Natalie Leontiev, 38, at her Holtsville home and arrested her, police said.
She had gone the wrong way in her Honda for more than a mile, heading west in the eastbound service road from Hospital Road to Route 112, police said.
Shortly before 8:22 p.m., Leontiev's Honda crashed into a Toyota, causing front-end damage to both vehicles, police said.
No serious injuries were reported, police said.
Leontiev, of 21 First Ave. in Holtsville, was charged with driving while intoxicated, second-degree reckless endangerment and leaving the scene of a motor vehicle crash.
Other details were not immediately available Friday night.