So...dragons obviously don't reproduce sexually. Which means there is no chance of romantic development here, because her species has no idea what sexual desire is.
Doesn't that mean that, by its very premise, this manga can't go anywhere?
MC is so gullible, this is obviously a ploy for the dragon that after 250 years of partying and sleeping around to find some poor lad to raise her children with his resources. Probably sponsored by the Japanese government to raise young Japanese men into willing cuckolds as well to lessen abortions and increase the birthrates, don't think you have us fooled Shinzo Abe!
In Indonesia there is a song called "angge angge orong orong", go get the lyric, ask to Indonesian (other than me) for literal translation, and you will get at least one funny thing about this manga.