The driver, in her 80s, and her daughter, in her 60s, had to be cut free from the wreckage of their vehicle on Cadley Causeway, Fulwood, after motorist Oliver Platt, 28, ploughed an Audi Q7 into their Ford Fiesta as they waited to turn down Mill Lane.
His car then collided with a bus stop, which was virtually destroyed, and the collision also caused damage to St Anthony's church wall.
Platt of Summertrees Avenue, Lea, Preston, is understood to have left the area.
Prosecuting, Diane Jackson told Preston Magistrates' Court officers were called to the scene, at the junction with Mill Lane, at around 7.30pm, on December 28, 2019, and the road was closed for around two hours.
The pensioner had suffered rib fractures and a lung injury, while her daughter suffered a head wound and internal bleeding.
Firefighters had to use hydraulic cutting and spreading equipment to release the casualties, while Electricity Northwest were also in attendance to isolate the electric supply to a bus stop.
Platt, who was later arrested, admitted driving without due care and attention.
Two charges of failing to report an accident in which injury was caused, and failing to stop after an accident were dropped, despite his disappearance initially being the subject of a public police appeal.
As he has admitted responsibility the victims can now pursue a civil compensation claim.
Defending, Paolo Passerini, said Platt, a roofer, was "very apologetic for his actions."
The chairman of the bench described the incident as "scary", and added: " You know what speed you were doing and quite frankly you are lucky you didn't kill someone by what we've heard."
Platt was given five penalty points, a £184 fine, and must pay a £32 surcharge and £85 costs.