I found this.
USAGE ALERT ABOUT FLESH COLOUR
While flesh colour originally meant the skin tone of white people, that meaning has been criticized as exclusionary and is now considered offensive. In fact, the term is no longer commonly used without qualifying it with a specific hue, such as peach flesh colour or dark flesh colour . The word nude in the past has been used to describe a similar hue approximating a white person's skin color and has been criticized for the same reason.
It's difficult to think of an appropriate word.