Oops - and you like that? Such a freestanding louvered roof??? Honestly?
South is at the bottom of the plan, right? By the pool?
Is the corner window openable or can you only access the terrace from the right or left? I would make sitting areas on both sides possible. One grill terrace near the kitchen, one chill spot in the south where you can enjoy your coffee in the first spring sun or the last autumn rays. Even in winter, such a south-facing terrace where the sun cuddles up is nice. Sitting wrapped in a blanket in the sun is also lovely in winter.
And now? In summer, your brains will fry, even if you have shade. That would only be bearable if the roof is ALWAYS closed so the paving doesn’t heat up (and honestly, such a louvered roof is just downright ugly). In spring and autumn the sun is welcome, but I’d bet my head that you won’t want to sit there because it will be drafty from some side. From the kitchen, you still have quite a long way to the seating area, even if the corner window could be opened.
No, that would not be for me at all.