∵p:|x-a|<4,q:(x-2)(3-x)>0,∴命题p,a-4<x<a+4,q,2<x<3,∵¬p是¬q的充分不必要条件,∴¬p?¬q,∴q?p,∴ a+4>3 a?4<2 ,可得-1<a<6,当a=6时,可得p,2<x<10,满足题意;当a=-1时,可得p,-5<x<3,满足题意;∴-1≤a≤6,故选C;