Though there's little detail on the character at this point, it's been released that she'll be playing a politician, so... foe may be a good guess.
Not usually one for dramas, how did the producers of Scandal talk Kudrow into this role? Well, like the world of Scandal in DC, connections are everything in Hollywood. Kudrow is producing partners with Dan Bucatinsky, who plays James Novak, the husband of Jeff Perry's White House Chief of Staff Cyrus Beene. She and Bucatinsky are executive producers of both Showtime's Web Therapy and TLC's Who Do You Think You Are?
Kudrow's signed on for a recurring role, so there's no telling if it will be just for Season 3, but we'll keep you posted!