Not that I want to get @'d if either of you come back to this again, partly because I got bored and stopped reading your replies to each other half way through, but it's probably worth noting if it wasn't in that clusterfuck already that those wounds really are a pretty big deal to someone in her position. Someone like the original owner of that body, her good looks were basically the majority of her power in the world. Her family name was important too, but if she's not unblemished that family can't marry her off properly for maximum benefit, which means she was probably useless at that point. Even the guy in the brothel just then is pretty much like "Time to put a paper bag over that face so I can just focus on the hot body."
Now that there's a badass behind the wheel on this meat suit though, things could certainly improve. But at the end of the day, that cover art for the series has her covering her face for probably a couple of reasons, but hiding the scarring is one of those for sure because looks are still going to matter socially in this world.