From 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]