To come back to the original topic once again:
A south-facing orientation with a view and sunlight is quite nice, but it also brings some challenges. "Where there is light, there is also shadow" – fits quite well here.
But I also see other things coming your way:
[*]In summer, you will be roasted without shading (outside) or stewed (inside). Or sitting inside with artificial light in the best sunshine
[*]You should think carefully about having a terrace in the basement in front of the bedroom window. On the one hand, the living area is on the ground floor, so presumably also the kitchen, dishes, etc., which would mean carrying things up and down the house to enjoy the terrace. On the other hand, guests can constantly look into your bedroom, or it seems to be the shortest way to get into the house, probably also for guests. Personally, I would have difficulties with that...
Here is an idea to have a combined solution for the various challenges (at least for me and as long as I have not misunderstood your floor plan).
The terrace is built on stilts/poles, approximately at the height of the left extension, possibly with stairs to the garden. Above that is an awning or a roof. Such a construction, of course, in a "nice" design.
[*]You can go outside from the living area without changing floors
[*]No one can look into your bedroom
[*]Shading above and below
[*]Still free views of greenery above and below
With the south orientation, the hillside location, and the chosen layout, certainly an exciting challenge