My Experience with White Privilege

I was 13 when I first experienced white privilege. I was sitting outside of a doctors office waiting for my mom to bring the car around since I was in crutches at the time. While waiting for her, a 40 year old black man came up to me asking for directions to a certain building. I didn't know where it was so I told him where he could find a map, he seemed a bit frustrated since he was running late to his appointment. A white lady walked over to us with one of her kids, and asked if the man was bothering me. The man told her that he was just asking for directions. The woman suddenly told the man he needed to leave right now saying he was "harassing a young girl who was defenseless". The man was clearly very pissed off and yelled something at the lady, and she told him if he did not leave right now she would call security. The man muttered something under his breath then left. Once he left she came up to me and asked if I was alright and if I wanted her to sit with me till my mom came. I told her I was alright and she and her son left. I was unbelievably confused at the time, the man wasn't doing anything wrong at all, I had no idea why she reacted like that. I soon realized that in her mind, she saw a 40 black man talking to a 13 year old white girl in crutches and he seemed "distressed". Does seeing that justify her actions?