The Collaborative International Dictionary of English v.0.48:

Appointee \Ap*point*ee"\, n. [F. appoint['e], p. p. of
   appointer. See Appoint, v. t.]
   1. A person appointed.
      [1913 Webster]

            The commission authorizes them to make appointments,
            and pay the appointees.               --Circular of
                                                  Mass.
                                                  Representatives
                                                  (1768).
      [1913 Webster]

   2. (law) A person in whose favor a power of appointment is
      executed. --Kent. Wharton.
      [1913 Webster]

WordNet (r) 3.0 (2006):

appointee
    n 1: an official who is appointed
    2: a person who is appointed to a job or position [syn:
       appointee, appointment]