A very nice portrait under the circumstances--there's not much I'd change about the capture (though I would have selected a different colour background if I could have)!
Some tips if you want to make this better, especially to print it at any size:
1) fix the skin balance and overall white point / black point by reducing the saturation (particularly red / magenta) saturation.
There are traditional ways to do this, but one way to get you there quickly would be to pick the brightest part of the image (her teeth) and the darkest part (the shadows under her chin) and make sure they're neutral--7/7/7 for the shadows and about 242/242/242 for the teeth. Then check the skin balance...
2) Use Photoshop's "replace colour" command to shift the background out of a competing red into something less problematic but still likely--like an orange. With the reduced saturation, that will give you some printable separation. Do this on a separate layer so you can replace any parts of the skin that's affected by "erasing" it away.
3) As Asher said, you also might want to change the overall density and contrast of her skin to make it more "film-like" (think Portra). If you don't know how to do this with curves and channel operations, something like AlienSkin Exposure, on a separate layer and dialled back to about 50% transparency in PS, will get you there