You can hand-keyframe color corrections while looking at the scopes, but this is very difficult and may not be very successful.
It is apparently shot by an 8-bit camera having limited dynamic range and low-light ability and using a compressed codec. The periodic near-monochromatic lighting means there is almost no color data to "pull" the image back to a consistent tone.
If the material was given to you via internet, see if you can obtain the original camera file. It may have been degraded by re-encoding.
In general I would give up on the color. It's a stage performance and viewers accept stage lighting. Try to improve other areas, such as make sure the luma waveform is optimized for each portion. Sparingly use a few color correction keyframes and it will smoothly interpolate between them. Each attempt, try to make it a little better and frequently do before/after checks to see if you're going in the right direction or making it worse.
If you draw a loose shape mask around her and slightly desaturate or lower the brightness of the background, that can provide a subtle vignette that helps a little. Note this should be subtle.
If there is video noise on the image, use video noise reduction like Neat Video: www.neatvideo.com. The Youtube video looks like there is exposure stepping; sometimes that can be reduced with Digital Anarchy Flicker Free, another expensive CPU-intensive plugin: www.digitalanarchy.com/Flicker/main.html
There is probably room to improve the audio with mild de-reverb and background noise reduction, also vocal optimization. Ideally iZotope RX7 Advanced should be used, another expensive tool: www.izotope.com/en/products/rx/features.html