Stage lights are usually far removed from any normal spectral distribution. It's not just a question of white balance.
Here you have several such lights of different color. Even if you could correct one, the others would stand out that much more.
So this isn't a question about color management, it's about color correction, and a tricky one at that. It might be possible with a lot of intricate masking, but make no mistake: this is a lot of tedious manual work, and you'll have a hard time getting a convincing and credible result. You might try in the Photoshop forum.
Just to give you an idea (this is not an attempt at correcting the image).
White balancing the top of the turntable - assuming it is supposed to be more or less neutral - causes blues and cyans to completely explode. Dialing blue and cyan saturation almost all the way down gives this:
Hardly very natural skin color...
This is one of those times when the video colorists have the advantage over the photographers. They have the scopes to do color correction. I imported the image to After Effects and zoomed in to the back of the hand. The YUV vectorscope looks like this :
The faint diagonal line running top left to bottom right is the aim line for skin tones. Suprisingly that skin tone line works regardless of the person's colour. So, using a curve, I upped the green to bring that tone across, and dialled up the saturation slightly:
Unfortunately we don't have the same controls in Photoshop but we do have curves so a similar boost in green and minor increase in saturation will do the same job but without the scope it is down to eyeballing it.
Edit to add : I am not suggesting doing Photoshop colour correction in After Effects - I just wish we had the scopes.