As this was only technically their first direct meeting in Yuno's perspective, she didn't feel like she Should be on the edge. It also a good thing for her that he did not want to go immediately in the house. "I'll make sure to tell them when they come back," Yuno happened to have little to say, shutting the front door justt as she finished the sentence. 

By the time the door was closed, Yuno pulled out her Future Diary to see that Yuki arrived home, and began texting him right away on what he was eating, if he was taking bath, or was going to sleep.