To return once more to the original topic:
A south-facing orientation with a view and sunshine is quite charming, but it also brings some challenges. "Where there is light, there is also shadow" fits quite well here.
However, I also see other things coming your way:
[*]In summer, you will be roasted on the outside without shading or stewed on the inside. Or sitting inside with artificial light in the best sunshine
[*]You should think carefully about a terrace in the basement in front of the bedroom window. On one hand, the living area is on the ground floor, probably including the kitchen, dishes, etc., which would mean carrying things up and down in the house in order to enjoy the terrace. On the other hand, guests can constantly look into your bedroom or, apparently, this is 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 to the various challenges (at least for me and as long as I have not misunderstood your floor plan). The terrace will be built on stilts/pillars, about the height of the left annex, possibly with a staircase to the garden. Above it, there will be an awning or a roof. Such a construction, of course, “looking nice.”
[*]You can go outside from the living area without changing floors
[*]No one can see into your bedroom
[*]Shading above and below
[*]Still a free view of the greenery above and below
With the south-facing orientation, the hillside location, and the chosen layout, certainly an exciting challenge.