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Even had this lady been armed, she probably would have had the same problem. This was all about being aware of what's happening around you. I doubt she would have been able to take a firearm out from her purse or holster given the way this guy surprised her. But, if she had been paying attention and was also armed, she could have defended herself by being on alert before he appeared in her window.

As said above, pay attention, and seeing that car park there would have had me get my gun ready. I probably would get out of the car too.
Staying in your car is a death trap, so get out if you can.