Because he had met Lily, Charlize soon became a frequent visitor at Kate's house. She either came with Adrian or on business to see him. Although Kate felt somewhat uncomfortable, especially when she saw her playing with her daughter, the feeling intensified, but she still tacitly accepted Charlize's presence.
In fact, Kate had thought of ways to reduce Charlize's visits. She had hinted and verbally nudged, but Charlize quickly made her retract these behaviors. Although there was inevitable hostility when they were together and some reluctance during their interactions, those behaviors ceased.
Of course, as soon as Adrian walked in, the two women immediately separated and stood as if nothing had happened. Adrian saw this but did not say much, continuing to play with his daughter in his arms. However, whenever he thought of that scene, he couldn't help but find it amusing. Kate was actually two years older than Charlize yet couldn't let go in her presence.