WordNet sense 1 (afford possibility):

admit

WordNet sense 2 (make a possibility or provide opportunity for; permit to be attainable or cause to remain):

leave, provide, allow for

WordNet sense 3 (allow the other (baseball) team to score):

give up

WordNet sense 4 (make it possible through a specific action or lack of action for something to happen):

let, permit, permit

WordNet sense 5 (let have):

grant

WordNet sense 6 (allow the presence of or allow (an activity) without opposing or prohibiting):

tolerate

WordNet sense 7 (consent to, give permission):

countenance

WordNet sense 8 (give or assign a resource to a particular person or cause):

appropriate, earmark, reserve, appropriate, reserve

WordNet sense 9 (allow or plan for a certain possibility; concede the truth or validity of something):

take into account