Here is a picture which is looking back at the house from the 28.2 line (roughly). It looks like the Sky installer didn't have much choice of location for the dish, but I still have the problem that it breaks the rules of a conservation area (nothing breaking the roof slope). Adding in the rule that nothing is allowed on the front wall, my locations are severly cut down (the old dish is behind the big tree on the right side of the house and is probably useless).
The best option, assuming it's possible, is to mount it on the garage which is just visible on the right hand side of the picture. It looks like it might have line of sight and that would solve all issues with the conservation area rules.