From BiblePortal Wikipedia

Webster's Dictionary [1]

(1): (n.) Declaration of the bishop that he approves of the presentee as a fit person to serve the cure of the church to which he is presented.

(2): (n.) The act or practice of admitting.

(3): (n.) Power or permission to enter; admittance; entrance; access; power to approach.

(4): (n.) The granting of an argument or position not fully proved; the act of acknowledging something /serted; acknowledgment; concession.

(5): (n.) Acquiescence or concurrence in a statement made by another, and distinguishable from a confession in that an admission presupposes prior inquiry by another, but a confession may be made without such inquiry.

(6): (n.) A fact, point, or statement admitted; as, admission made out of court are received in evidence.

Cyclopedia of Biblical, Theological and Ecclesiastical Literature [2]

1. a term in use among English and Scotch Presbyterians, to denote the service and act by which a minister is publicly introduced into a new charge.

2. In the Church of England, when the bishop accepts a candidate presented for a benefice as sufficient, he is said to Admit him. The canon and common law allow the bishop twenty-eight days after presentment, during which to examine him and inquire into his life and doctrine. A bishop may refuse to admit the candidate presented on account of perjury, schism, heresy, or any other crime on account of which he might be deprived. Bastardy, without a dispensation, is a just cause of refusal, but not so the fact of the person presented being the son of the last incumbent the canon ne filius succedat patri not having been received in England; still, if the bishop refuse on this account, and the patron thereupon present another, the former nominee has no remedy. When the bishop refuses to admit he is bound, within a reasonable period, to send notice to the lay patron in person.