The woman, 21, had been dropped off at a home in the 100-block of Kingston Road (21220) when she was shot at least once in the upper body, sustaining life-threatening injuries.
She was taken to a local hospital for treatment.
The suspect fled the scene prior to police arrival.
Detectives are continuing to investigate this incident.
Anyone who may have information concerning this shooting is asked to call police at 410-307-2020.