Sesshoumaru doesn't have many enemies well thats probally cuz he killed them all.
But his most hated enemey is his own brother! His brothers name is Inuyasha.
The 3 main reasons why Sesshoumaru hates Inuyasha is
1.Hes a half demon
2.He owns the Tetsusaiga
3.He chopped of Sesshoumarus arm!
Well thats his enemie(s)