First off, if I were a princess, queen, or other notable royal woman, you'd find me in a tower or turret overlooking the gardens and the sea. No question.
When I did come down from a tower, I'd glide down long, marble passages...
... until I got to ivy-covered balconies. From there I'd watch the boats and nature and my corner of the kingdom.
Then I'd find another balcony and watch the soliders and the people. I'd let down my hair and lean far, far over and hum something melodic... something that went with the wind.
When I got tired of that, I'd go for a swim in the royal pool, assuming someone didn't forget to fill it.
And I'd follow that with a perfumed bath in a palace bathroom. Of course, they'd have to bring in the tub first.
After I was clean and robed and beautiful, I'd wander through all the doors. Especially the ones I shouldn't.
I'd gaze out windows and up at ceilings and think important, lovely thoughts.
... before going to my hat room to try on all my royal hats:
But if the jesters weren't funny or the singing was off-key or the dancers stepped on each other's toes, I would slip out and find a quieter couch. I'd make medieval s'mores around the fire, even though I know I shouldn't.
And after dark, I'd creep quietly to the guard tower near the back gate and wait for the clopping of hooves to come and whisk me away.
... and all you'd see is the blur of my carriage and the burn of its torch as I sailed by.
If I were an Ottoman princess, that would be my day.