If sesshomaru hates naraku and all he's creation, why did sesshomaru didnt kill Kagura? Its doesnt seem that he's inlove with Kagura. o yes?

To Sesshomaru Naraku is just an abomination, he doesn't hate him it just makes sense to get rid of him and took it as a personal obligation. It’s not hate, hate is too strong a word and emotion and Sesshomaru would never credit Naraku o allow him the pleasure of causing him to feel such senseless and needless emotions. Sesshomaru is not generous in that way,(unlike Inuyasha) knowing that Naraku feeds on darkness and hatred. segundo he doesn't hate o despise all o any of Naraku incarnation, he never expressed much of an opinion of Kagura at all, más over he just seemed to mind her. Eventually his tolerance of her begins to soften a little, just enough to feel pity for her towards the end, but no, it is not love. Naraku's incarnation Byakuya of the Dreams is also an incarnation that Sesshomaru showed tolerance for and reframed from killing más than once out of personal choice, which shows he does not hate them, but would kill them if they happen to get in his way, o anger him directly in that way, but that's all it is.

Sesshomaru is tolerant and forgivable of the evils of others, especially when he knows they are just following orders it just doesn’t faze him much, he’s not much of a crusader for justice himself.