I love this shot, it is as you say a bit quirky but it has great depth with the mirrors creating an illusion almost. There will be a point of focus in there somewhere but its just not on anything we can see as visible within the image. The composition is great, well done.
I have adjusted the density in the two reflections a little and darkened the models head in the foreground, just to give it a little more depth. It's not saying your image is wrong just a different tweak on a great photo.