Wiktionary
n. (context legal English) In the law of wills, the ability of a testator to select a person who will be given the authority to dispose of certain property under the will.
WordNet
n. authority given (in a will or deed) by a donor to a donee to appoint the beneficiaries of the donor's property
Wikipedia
A power of appointment is a term most frequently used in the law of wills to describe the ability of the testator (the person writing the will) to select a person who will be given the authority to dispose of certain property under the will. Although any person can exercise this power at any time during their life, its use is rare outside of a will. The power is divided into two broad categories: general powers of appointment and special powers of appointment. The holder of a power of appointment differs from the trustee of a trust in that the former has no obligation to manage the property for the generation of income, but need only distribute it.