She possesses many other qualities prized by the superficial man.
My understanding is—whoever says it, doesn't refer to himself by the superficial man. The superficial man is some hypothetical person that represents all superficial men in the society. In the same fashion you say "The activities associated with the common man."
There are three ways to say this:
She possesses many other qualities prized by the superficial man.
She possesses many other qualities prized by a superficial man.
She possesses many other qualities prized by superficial men.
Are any of these sentences incorrect? Why is the first one preferable?