Hmm... Seems someone may be hitching a ride on another's reputation:
http://www.redhatsociety.com/

If so, that's too bad.  I see groups of ladies from the Red Hat
Society doing "meetups" and outings at restaurants, etc. on a fairly
regular basis.  This real estate person may be playing on that
reputation to pick up clients.

Then again, maybe she just likes red hats.
  

When I am an old woman I shall wear purple

With a red hat which doesn't go, and doesn't suit me.