That is the problem, in the south you can't get into the garden at all. It is already quite late, am I mistaken? I thought the garden is in the west and the terrace must be placed accordingly there.
I also thought that the house opens towards the garden at the bottom of the plan, meaning south. So the house somehow turns away, and there will be no nice relaxing view into the garden either.
In this respect, kaho is right that if she rotates the house, unfortunately the room orientation will be even worse.
Take your wife and think this over calmly. Priority list, compromise and slowly growing impatience, an architect who is not one ... not an easy decision to backtrack.