WordNet sense 1 (the person or thing that is rejected or set aside as inferior in quality):

cull

WordNet sense 2 (refuse entrance or membership):

refuse, refuse, turn down, turn away

WordNet sense 3 (resist immunologically the introduction of some foreign tissue or organ):

resist

WordNet sense 4 (refuse to accept):

decline, pass up

WordNet sense 5 (deem wrong or inappropriate):

disapprove

WordNet sense 6 (reject with contempt):

disdain, pooh-pooh, scorn, spurn, freeze off

WordNet sense 7 (dismiss from consideration or a contest):

eliminate, rule out, winnow out