Obviously, this woman's curly locks have distracted me from paying attention to other details in the fresco. I finally noticed, after reading yesterday's post by heidenkind, that there is interesting loop knot that is located at the nape of the woman's neck. It appears that this loop could be connected to the goddess cults, and more specifically, to similar Egyptian cults by way of the ankh symbol. Heidenkind also discusses further connections between these goddess cults through priestess girdles, which is fascinating to me, since the Minoan Snake Goddess (c. 1600 BCE) is one of my favorite pieces of ancient sculpture.
This connection between Egyptian and Minoan cults totally makes sense. There were obvious ties between the two cultures. Minoan art has often been compared to Egyptian art, and you can even see a similarity in "La Parisienne" - she is depicted in profile view with a frontal eye (the traditional mode of depiction in Egyptian art).
Anyhow, you should read heidenkind's musings. It's interesting to think about.