If Inugami were to choose Aki, I'd be really sad for Nekoyama.
Because Nekoyama obviously has eyes only for Inugami. It matches her cat persona : cats aren't friendly with everyone. They are picky. They don't have owners, they have a person they like. I know, I had a cat for the longest time and she owned me as much as I owned her.
And the kuudere act of Aki makes her the main obstacle between Inu and Neko. That she'd do that out of jealousy or to protect either of them is debatable.
The author should find her a love interest.