Because Damon isn't like most of the *other* blood-thirsty males in the story who just need the slightest reason to take their dick outta their pants when around a nice-looking woman.
Actually, this is probably one of Damon's "nicer" qualities, if only to make him look better than most of the other non-shipgirl characters.
Looks like the next few chapters will be more slice-of-life stuff in New Chicago. Also Damon gets the brilliant idea to send the whole fleet at once to a bathhouse after midnight. Keep in mind, the whole fleet consists of over hundred people now.