This is a photo that can be worked with, and you should be able to bring out the colour and contrast in the dark areas. An overexposed image is lost, white is white and you can't bring it back from there, but there's often a lot of colour and detail hidden in what our eyes see as black.
The black and white rendition of that image is a good demonstration of this, you can see the details in the lady's top and you can see that she does in fact have a right arm, where as in the colour image it just looks black.
I don't know what software you use, but look for a "burning" tool. It's like a paint brush but where you paint it creates an effect sort of like longer exposure, brightening and lightening areas of the picture. It takes a bit of practice using these tools to not make your editing obvious but you should be able to get something nice out of that picture.
[Edit] Technical explanation - the term Burning comes from the old days when we were working with negatives and exposing photographic paper. If there was a dark patch in a picture like yours we'd lay a few its of ordinary paper over the top of the parts of photographic in the areas where the image was lighter as a mask.
Then we'd start our exposure and whip the mask away after a couple of seconds. So the darker area of the image got exposed for longer, or "burned". And as we took the bits of paper mask away we'd flick them back in and out of position a bit to feather and soften the edges of their shadow and try to make it look like an even exposure across the image.