I haven't read the LN but I listened to a podcast that spoke about the series at length. Based on their assessment, I figured I probably wouldn't read it. The instant I saw the description for this manga, I knew what it was (and was shocked that it got a manga adaptation). Based on what I know about the series, I think this first chapter is an improvement. As a writer, I know how powerful visual storytelling can be in comparison to raw prose. The visual storytelling here is really great, with incredible art and putting a lot of the more "egregious" aspects of the LN in the 'background.' For example, Tanya's outfit isn't mentioned at all. While prose would have to elaborate on her outfit and how much skin was showing and blah blah blah, the manga can just show you and leave the implications up to the reader. There's already interesting conversation happening in the comments here in regards to that (despite the people engaging in those conversations believing that it's a negative).
I think this is pretty awesome. The story's developing pretty slowly with a nice pace that allows us to focus on the main characters. This chapter introduces the protagonist, her primary ally, her main motivation, and her goal. We see her power level, a job change, the limits of Laplace's abilities, and the "enemies." It's concise, fluid, and easy to follow. The mangaka's done some great work with the original material and the visual medium only helps it.
On the topic of gender politics, why are we talking about that on dynasty reader? We literally have a tag called [404: Men Not Found]. Comical representations, or lack there of, of men is a frequent occurence in a lot of manga hosted on this site. But this is the one that people complain about? I think that's really silly. At least Exiled has something to say with it. Hyperbole and exaggeration are tools writers use to convey messages and themes. If one of the themes is "patriarchy sucks," then I think this does a pretty damn good job at showing it. Every man in this world is comically, irredeemably evil? Awesome! I've been listening to 1950's radio shows (thanks, mom) and their women are so two-dimensional and they serve such limited roles in their narratives. It's great seeing the shoe on the other foot every once in a while.
Personal verdict: very excited to see how the manga expands upon and handles the original material. The art's fantastic and the mangaka's and translators' combined work will surely produce an interesting series that will breathe new life into the polarizing legacy of Sexiled.