Kim I have a friend that rides dressage and have shot here at a practice ring, the lighting conditions are the same as you have here that is the same as .... (what comes out the other end of the horse). It is almost impossible to get it in camera unless using flash but somehow them do not like you doing that. What I did you to open your image in ACR then into Photoshop as a smart object then copied it to a smart object by way of copy. now I have to smart objects that are not linked it I had created a straight copy, then what I did to one would also be done to the other. Now on the second layer I was now able to open it back into ACR, selected the WB tool selected a spot on the horse and change the WB to something more to my liking, then selected done which took me back into Photoshop. I then selected the horse and rider and copied them to a new layer with a layer mask to hide the rest of the image except the horse and rider. I then turned off the eyeball to the third and second layers, opened the first layer back into ACR tweeted to a little, selected Done which took me back into Photoshop. Now I have the ring looking more how I want it then turned the eyeball back on to the third layer which has the horse and rider looking how I want it, and that is what you see below. I know that, that sounds like a lot however I use smart objects like that all the time when the situation warrents it, so I am use to it almost like second nature. I hope that the image meets with your approval.
Cheers: ALlan