Kemomimi no Kamisama ni Ikinari Metoraremashita

When Kotone, an ordinary office lady, ran into a shrine to get out of the rain, she found a hurt puppy and treated its injuries. Suddenly, the puppy transformed into a beautiful god who is not of this world! And then he proposed marriage to her and held the wedding that very night!

You've forgotten me, haven't you?
You'll be able to find out what's going on in the world of the gods.
A pure romance about love in the space between reality and fantasy.

(Source: Ohzora Shuppan, translated)

Note: Collected volume includes a bonus chapter.