I think the fundamental problem with this adjective order, and why both descriptions will sound odd to most native English speakers, is that multiple adjectives should be related. That is, they should impact each other.
For example the "large black rectangle" - large and black are both descriptions that will distinguish this rectangle from others. So this is a proper use of multiple adjectives. But you would not usually say "the large valuable rectangle", as the value of the rectangle is unrelated to distinguishing or identifying it.
In circumstances like this, it would usually be more proper to say
"I saw a pale girl who appeared anxious"
Or
"I saw a girl whose face was pallid with anxiety".