Katari was what some would call a crazy person, in its truest sense.
And indeed, Katari was crazy, at least, her mind didn't run the same way others did.
Like she said, Kael was the only one who gave her a sense of meaning in her life. It was like a traumatic bond, one that had been so ignored by everything, even Kael, when she was little.
From the moment she started to hang out with Kael, she grew attached to him because of his lackluster attitude to address her properly.
He might have given her brown rat meat and played with her in awkward manners but that was enough for the bond to establish.
It could be said that she was imprinting on Kael, seeing him as a provider, even though she never understood that concept.
Although she was clingy, Kael never bothered to chase her away, causing her to become more attached. It got to the stage where Kael's absence from her sight made her feel lonely.