The color temperature of a light source is something seen much better by a digital sensor than our eyes. Our eyes work with our brains to make things look normal. The digital sensor will more accurately register the intensities of red, green, or blue in every light source.
That's why I often must develop photos before delivering them to a client.
In this image I first adjusted the shade of the light on the speaker so she looked human and then separated the background layer and adjusted that color to look as intended.
This was the opening speaker at the APRA convention in 2015.