Here is a word that I have always assumed was akin to distraught. I found it again in The Greatest Adventures of Sherlock Holmes in the story of “The Golden Pince-Nez”. I finally looked it up, and though it is similar, it is not quite as dramatic as distraught.
Distrait – distracted or absent-minded
Usage: “Holmes was curiously distrait, and we walked up and down the garden path for some time in silence.”