Colors exist just as differentiable sound frequencies exist. The only thing that is open to debate with regard to color is our capabilities of distinguishing between color ranges within our own visible spectrum. Just because we can't see infrared and ultraviolet color frequency doesn't mean they don't exist.
The original question isn't fair, because you would have to assess the color of the sun from a purely quantitative perspective directly from the source of light, which is, on average, about 92 million miles away from our planet. The color of the sun is a totally different thing than the color refracted from the sun's rays upon entering the earth's atmosphere.