When I first entered Anor Londo, I didn't have the Peculiar Doll. After being stuck on Smough and Ornstein with no humanity--5 Estus Flasks and unable to summon--I decided to backtrack. I went to the Depths and farmed humanity, picked up the Peculiar Doll, and defeated the Stray Demon. Now that I'm, finally, back to Anor Londo I'm eager to take on S&O, but I just want to make sure I will still have access to Painted World after defeating S&O.
TLDR: Can I access Painted World after defeating S&O?