First off, I'd like to dispel the idea that the woman was "ignorant", a word used to describe her at least 6 times in here. It sounds to me she knew EXACTLY what she wanted and knew exactly how to get what she wanted quickly and with little fanfare. That doesn't sound anything like ignorance to me.
Racial profiling, such as this lady's action, is not a product of ignorance. It is a product of identifying a disturbing trend. When planes are crashed into buildings, when people are taken hostage, and when buildings are blown up, the perpetrators are almost always of middle eastern descent, with middle eastern sounding names.
I disagree strenuously that the lady was ignorant, whether or not she was a racist or just afraid.