This looks bizarre, for lack of a better word for how horrid it is.
They surely had no professional help for design advice,
they must have came up with this add-on plan themselves.
Perhaps they could add some stone & barn beam work around
it somehow to soften up the lines and blend it into the original structure?
It definitely needs H-E-L-P!!!
I would dress in the style Monica did for the Dream Home special. Her outfit was timeless, not over-dressed, in a reflection of the home. A hint of "desert chic" was the look she was going for...she hit the nail right on the head with this attire! That is how I would dress also, if I won. And yes, I would incorporate that beautiful turquoise wrap into my outfit as well, a color that looks nice on true blondes.