He can hear the murmurs behind his back, but he never cared. He never gave a rip about the insinuations of how a cold, heartless, blood-lustful monster like him was taking care of the most sweet and cute little girl in the Gotei.
They wouldn't understand anything, they wouldn't understand that their relationship was deeper than the normal relationship between captain and lieutenant. His best friend, his partner, his little sister, his little girl but most important his salvation. All those years ago she gave him a reason to live, he wasn't a shallow killing machine anymore... he was a father. And a damn good one at that! She had never been hungry or cold, since he took her in. He gave her everything her heart desires, mostly for her to be silent, but also cause he adored the feeling it gave him when he saw her smile full of gratitude. As soon as she showed interest in learning how to fight he was the one who taught her. Most people would think that a man whose most entertaining activity was to fight and kill would be an horrible teacher, they would think that he would hit her for doing things wrong and shout when she cried cause she was bleeding. Well most people were wrong... this monster's favorite activity wasn't fighting or killing, they came second and third, but taking care of his little princess. He would do anything for this little angel that taught him how to love and kissed each one of the scars in his heart, ANYTHING.
And now he didn't only have a daughter, he had a lot of incompetent sons as well. When he took the position of the captain of the eleven squad he never thought that he would care a damn about all those weaklings. However, then he began to notice that they weren't so different from him. Yes, he was more screwed that any of them but they were all broken men that were misunderstood. As always his lieutenant saw what it took him a few months from miles away. She began to take care of them: patch them after training, console them when they were sad, treat their broken hearts and most important never judge them, just give them a sun bright smile to warm their souls.
Now he doesn't need to be all the time to be over his daughter like a mother hen, now he can leave her for some time to her older brothers. Specially his third chair and fifth, no matter how much they say they can't stand her their captain knows that they adore her with every inch of their hearts. A few months ago they even sent to the squad 4 five men that were commenting how cute she was. Since that moment everyone in the society knows that if they want a piece of the eleventh squad's little girl they must pass through a whole pack of overprotective brothers and father.
So yes, squad 11 was a team full of brute animals which were all broken without repair. But they had their little pink light that shone giving them the strength and hope they need. Her name is Yachiru and whenever Kenpachi looks at his past he smiles cause he made the best decision ever at adopting her.