Police went on to seize hauls of cocaine, ecstasy and cash from a nearby upmarket flat that she had the keys for.
Farooq appeared in the dock at the High Court in Glasgow where she pled guilty to being concerned in the supply of both class A drugs.
A judge stated she had "shamed" herself and her medical profession by what she had done.
She was warned she faces a lengthy jail-term when she is sentenced next month.
Farooq had been spotted by officers briefly going into a car, leaving then entering her own vehicle.
Prosecutor Mark Mohammed KC told the court: "Police suspected they had observed a drugs transaction."
She was followed to a secure car park at the flats in the city's Lancefield Quay.
Farooq was stopped and got out her motor. She then dropped the keys for a property there.