i don't think kikyo hates kagome because of that but because she pured and softened inuyasha's soul instead of kikyo. plus ইনুয়াসা never truly chose Kagome he still loves kikyo.
no because they say that when আপনি truly প্রণয় someone আপনি would respect his/her decision. so i think that what kikyo did he respect inuyasha's decision.