The accident happened at 10:48 a.m. in the area of Black Diamond Road.
According to police, 78-year-old Brigitte Best was travelling north on Route 1 when she lost control of her 2008 Nissan Altima in the snow. The car veered across the grass median and into the southbound lanes, colliding with a 2002 Ford Express van.
Best was pronounced dead at the scene.
Both occupants of the van were transported to Christiana Hospital with non-life-threatening injuries.
Route 1 southbound was closed for three hours but has since reopened.