Art, as you said, the setup was quick and dirty. I agree with Herman - very elegant.
Your options were limited. One way that you could have got rid of the shadow would have been to have her at least 3 or 4 feet away from the background. But the pose that you used fits her. Option 2 would have been to have a diffuser or soft-box as close to her as possible, to make a large light source with soft light. Even then, no guarantees.
My final thought is "job well done". Elegant pose; no glare in the glasses; and no speculars in the jewelry.
- Art likes this