To decline to accept (something offered).
To decline to give (Dictionary.com).
See also: → refute, → reject, → repulse, → recoil.
Etymology (EN): M.E. refusen, from M.Fr. refuser, from L. refusus, p.pa. of refundere “to give back,” from → re- “back”
Etymology (PE): Verb from → refusal.