Giyuu took his position as the water hashira less seriously and thinks he doesn't deserve it but still cared for the common people enough to take his patrol seriously. He works alone and takes a liking to it.
Though, after long days of fighting demons he would return home to you, his new wife. You are another hashira but you're special as you understand him like no one does and this is one of the reasons he likes you. He likes you as a whole. He always gives you his haorie so it reminds you of him while he's gone.
Today had been especially tiring, there was a particularly troublesome lower moon demon. Though as he walked through the door his heart skipped a beat.
There you were, sitting all pretty on the couch in his two-toned haorie which he cherished as it reminds him of his sister and only best friend that passed away when he was a child. Giyuu felt an unfamiliar feeling surge through him. Is this what people with emotions call 'desire'? he thought.