I don't think he's trying to hook up with Delilah. His aversion to body hair on ladies seems pretty evident with Dora Bianchi International. And Delilah seems pretty furry. We can assume if a lady likes to let all her hair grow, she probably likes to let all of her hair grow. Even if he doesn't have a problem with other body hair, we know he prefers at least a nicely maintained shrubbery. Swing girl wasn't leaving, which leads me to think she's a roommate. She seems to be someone Marten could approach, and I'm guessing next week we will see him helping clean up and trying to talk to Swing Girl. With or without success, I don't know. Then again, in the last panel of the comic where she has a line, the blonde dude looks like maybe he's got some interest in Swing Girl, possible a boyfriend or courtier. Could be that he cleans up and leaves and Delilah gives him advice.
RE: Shaming
I don't think the intent is to shame people who have body hair. The comment seems to be aimed at just one person who has an obvious amount of hair. This is also a person that doesn't really exist. And the comment seems to be obviously humorous. If I got up in arms every time I heard the mention of four-eyes (or some variation thereof), or cracks on nerdy types, or shit about D&D players or any of the other hundred things that people could make fun for... I'd be a very angry, very busy person. And a hypocrite. And really, that's on the same level as body hair. Worse, even, because you can't really decide to stop being a nerd and it just ends there. You can't just say "oh I don't need glasses I can just shave them off my face" and magically not need corrective eyewear. Instead, when I heard remarks that are meant to be jokes, I laugh. Even if they could apply to me. Since it seems to be impossible for adult humans to follow "If you don't have anything nice to say, don't say anything at all" I instead submit what I follow: "If you can't laugh at yourself, you shouldn't laugh at others."