While traveling on AA from LAX - ORD, I was selected for secondary screening.

Joy.

When I got to the detector, the TSA employee suggested I remove my shoes. Comments about the shoe carnival aside, I told her that my shoes were ok, she shrugged and I went through without an alarm.

At that point, I was directed to sit down while another TSA employee wanded my shoes. The wand went off, the TSA employee requested that I remove the shoes so they could go through the x-ray machine. No issues with the shoes as they went through the e-ray machine. Up to this point, I was sitting facing my belongs on the belt.

The TSA employee then requested that I stand up and turn around (thus I'd be facing the wall) with my feet on the shoe printed mat. I said huh? and the TSA employee (to me) sounded annoyed with me a repeated that I should turn around and face the wall with my feet on the shoe printed mat.

At that point, I said: "But then I won't be able to see my luggage"

The TSA employee responded (with a sigh): "Fine, we'll do it your way" and proceeded to start the screening with my luggage still in my line of sight.

What should I have done? Was I incorrect? Should I have alerted a supervisor before or after the screening had started? Shoud I have written a letter?

From a background perspective, I am on a plane every week, travel light and almost never set off any detectors.

Thanks in advance