"Pinee" is derivation of the verb "pining" as in to pine for someone's affection.
A "pinee" is someone who is the object of someone's
desperate crush. A "pinee" does not like that
person (the piner) back. The
relationship is impossible.
Jim really wanted to be with
Pam, but she was already in a
relationship. Jim is pining for
Pam. Pam is the pinee and Jim is the piner.