Norn and Aisha were just the peanut gallery there. Rudeus was talking to Sylphie, asking for her permission. That obviously could not wait. Rudeus brought Roxy with her, with certain implications, which would be far worse if he said nothing for months (he would have been hiding the immoral act for months). Worse for both Sylphie and Roxy. Norn and Aisha didn't really count for much in this concrete issue. It's anyone's guess why they were there. Perhaps because Rudeus didn't think it through? He's no wise old man. It could be he simply thought it would allow him to get them informed as well, without needing to do the declaration for a second time. Somehow Norn then stole the center stage. I doubt Rudeus wanted to make Roxy stand through it, when Norn attacked her like a public prosecutor.
She dropped it because Sylphie accepted it. What else could she have done at that point? Her religious beliefs weren't the only reason. Other plausible reasons have been mentioned, such as the suffering Paul's infidelity caused her back in the Millis capital. But do the other reasons matter either when Sylphie accepted it?
Hitogami carries the title of a god, so I doubt he holds a personal grudge. He just ought to try harder to convince Rudeus the next time. In the end, we don't even know what Hitogami wants. All this stuff could be of zero consequence for him. His real goal might be decades in the future, and it doesn't matter how Rudeus gets there, just that he is there in a shape suitable for Hitogami.