look me in the eyes

I wonder what it says about me that I am incredibly uncomfortable looking someone in the eyes for more than a few moments at a time. I start to have this little conversation with myself, in my head:

"Where do I look?"

"Left eye? Okay. Yeah, that was long enough."

"Right eye? Yeah, that's not better."

"Both eyes? My eyes aren't capable of that!"

Then, I start to figure I can perhaps just look right between the person's eyes, but I start to think the person will realize I'm staring at his/her forehead. So, I look down. But, really, aren't we taught to look someone in the eye when they're talking to you? I'm pretty sure that wasn't just me. So, I can only look down for a while. I could just close my eyes, I suppose, but that seems weird.

And, of course, by this point, I've had this freaking debate going on in my head the entire time I've been a part of the actual conversation.