Comments

First lessons are always difficult.  You have to psyche out your new student quickly and make a good guess at what approach will work best.  It's a matter of intuition combined with knowledge gleaned from past experiences.  If the student comes back for more lessons, you can refine your approach.  Your first lesson with her must have gone well, or she would not have come back.  You deserve praise for being a good teacher.  I'm sure your working relationship with her will continue to improve.

Actually, I don't give trial lessons; we committed to the entire semester beforehand.  I figured that was the best way to give us both a good chance at impressing each other.