I followed your advice, but I also noticed that the shadows were too strong in the model, so I changed the gamma, to better match broad daylight.
View attachment 1036088
The original backround was very bright, but the model had strong shadows. In the previous post, I tried to get the to background match the model, by lowering the white output, but also lowering the gamma, so I muted the overall brightness while also darkening the shadows. I still didn't think that the background suited the model, so I also increased the contrast of the model, but I think I made the shadows too distinct, so it looked more like sunset rather than midday.
Here, I further lowered the brightness of the background, but also decreased the shadows, and I increased the gamma in the model, so the lighting would seem less direct.