Sesshomaru's father demanded he go and apologize to Kagome and her mother for making a scene, after all, Kagome had apologized.
He was walking up the shrine steps when the wolf came running down with his tail between his legs. He stopped though and turned to look up the steps "I'll be back soon, I will make you my woman!" He called out.
And arrow went flying past the wolfs head, Sesshomaru caught it.
"Not on your life" He heard Kagome scream.
Sesshomaru turned the arrow to ash.
Kouga made a run for it. He valued his life.