Where you based Op? Some wild advice being thrown around without all the facts, you also sound worked up about it by your reaction to Glasgowdan. This may not be the best place to seek solace!
Tell us where you live, as the party wall act may not even apply.
Have you a building warrant for your flue discharging over the boundary? I doubt it, but you never know.
How do you think it’s going to affect the value of your property?
On what grounds do you think you can still object? And have you spoken to the planners, and I mean spoken, in person? It would probably help you a great deal to understand exactly what they are entitled to do on their property. What you consider unreasonable may be entirely reasonable?
Good luck getting it sorted.