The incident took place in Charles Street in Petersfield at the junction with Swan Street at around 3.30pm yesterday, and involved a blue Citroen DS5 and a woman in her 70s.
She was airlifted to Southampton General Hospital with '˜serious' injuries.
According to police, a nurse may have seen the incident, as she stopped to help but left before the police arrived.
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Anyone who saw the collision or has dash cam footage is asked to call 101, quoting Operation Ochre.