I don't shoot people much either, I'm just the kind who knows what I like when I see it.
The brows over the eyes cause shadows when the light is up high. You can also see that her lashes were causing shadows on her eyes. Same reason for that. To neutralize that, especially for a close-up shot, you need to get some light below the brows. I don't really know enough about portrait photography to recommend a solution, but perhaps a reflector down low to kick some light back into her eyes? Or just lower your lights some so that they aren't as high above her eyes?