Those are two separate events. 1, being hit by a car, then 2, going to hospital.
Being stabbed and being injured are not two separate events in this story. The stabbing is the injury. There is no second event. When she was stabbed she was injured. She wasn't stabbed then injured, as the headline suggests.
It would make sense if "injured" was being used as an adjective, but then they would have had to have written "woman left injured after being stabbed...". They could have also used the stabbing as a noun "woman injured in stabbing", but they did not. The way they have written it, both are in the verb form, which suggest two events, a stabbing then an injury.
Does that make sense now?