Bruce, who didn't want his last name used, said his daughter is very shaken up after the attack at the intersection of Huxley Street and Burlington Street, in Sydenham, shortly before 7am.
He said she needs her silver Toyota ist car to get to her workplace each day, where she looks after elderly people.
Bruce said his daughter was on the way to work when a woman approached her wearing a red and white bandana and a black leather jacket, and wrenched open the car door demanding a ride.
She presented a large knife when his daughter said no, and took the car, leaving his daughter in the heavy rain.
Bruce is asking anyone who may have seen the car, registration JWH495, to call the police.