I don't understand what your psych is getting at. I agree with some of the other comments ... be yourself. I've never thought of your look as being obsessed or creepy, and I have never been bothered by your countenance.
I don't see what the problem is with looking people in the eye either, as long as you're not staring at them with an evil grin and cackling.
Perhaps I'm missing something in the context of what your psych was trying to get at. I dunno.