It's not weird. There are stories out there for this subject. Here's one that comes to mind and was recently completed.
The Snow Angel by SunsetMiko
After the Lady of the West casts a vicious spell on Sesshoumaru, he finds himself weak and helpless, on the brink of death. Kagome stumbles across the taiyoukai and saves his life, causing him start to see things a different way. COMPLETE
Rating: MA, Universe: Canon, Status: Complete, Category: Oneshot Collections, Chapters: 232
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Second Chance by Striking Falcon
Sesshoumaru, Lord of the Western Lands, is betrothed to a miko with a dark side. When Sesshoumaru declares in front of the wedding party that he doesn’t love the miko, she curses him. Fast forward to 2003, when Kagome is driving home from work. She accidentally runs over a pure white dog with golden eyes. She names him Chance, after being given another chance at life. Will ‘Chance’ finally get the life that was taken away from him in hatred? *Inuyasha & co. belong to the illustrious Rumiko Takahashi*
Rating: MA, Universe: Alternate, Status: Complete, Category: Chapter Stories, Chapters: 40