Jaw surgery is highly invasive surgery that is way beyond what you're probably expecting. It comes with real risks and tradeoffs. Swelling lasts for up to a year after surgery and you'd be on a liquid to soft diet for 2-3mo afterwards. Many people thin or bald in recovery and it cane take up to 2 years for it to return. It's very common for people to lose some sensation in their face afterwards, lips, gums, palate, etc. That means kissing is less fun (I'd recommend chapstick btw). It's not uncommon for people to develop joint problems afterwards or to hate the way they look, even if they look objectively better. Sometimes tooth alignment can be off too. Plates can cause problems decades later and there isn't always options for fixing these problems. The osteotomies don't always heal perfectly, particularly if graft materials are used, and may be more prone to refracture later in life. Teeth can die in the process, requiring root canals and eventually tooth loss. People do this surgery because they have problems that outweigh the risks. Any improvement to aesthetic is a bonus except in severe cases. I mention all of this because I want you to know what you're getting into here.
You didn't capture the angles we look for in your pictures, in particular I'd like to see a clear profile picture. The less smiling you do the better so we can see your bones. You are attractive from your pictures so from a practical standpoint, you're not going to gain much in the dating market I think. Assuming your functional problems can be addressed without surgery, therapy may provide more value to you than surgery (I recommend it often, not just to you).
You clearly have facial deformity from your lateral xrays. It's very common, nothing to be surprised or impressed by. Looks like you still have your wisdom teeth, fully erupted. That's awesome. You had an anterior open bite which your orthodontist camouflaged and it has partially relapsed. Your case is similar to mine actually but your airway looks better and being female sleep apnea is probably not something you need to worry about for a very long time. You have a slightly underbite growth pattern with a slightly long face. Your maxilla is slightly underdeveloped, vertically posterior and horizontally anteriorly. From your pics it looks like you have a slight cant. These are all very routine problems seen in orthodontic and surgical practice, not to mention in the general population.
I think your bite is close enough that an orthodontist can close your bite again. You might want to consider extracting those wisdom teeth in the process. They'd need to come out if you wanted surgery anyway. I'd guess that surgically you'd need a 3-piece LeFort to widen the arch and flatten the curve of Spee, advancement and CCW rotation to level the occlusal plane. I'd only consider it if your orthodontist says surgery is needed to fix your bite. I do think you'd look better, assuming the surgeon got all the movements right. They would be small movements by our standards. It won't help your cheekbone projection because the fracture is near the bottom of the nose. Otherwise, I'd ask your orthodontist to retract the lower incisors to reduce some fullness and mask the maxillary deficiency. You might consider a genioplasty to reduce the volume even further, though it'd be a shame since you have such a nice chin. Given your growth pattern, I'd guess your cheekbones are in the right spot but not prominent enough. I don't like cheekbone augmentations but if you go that route, the Xilloc product looks interesting and it should be available to you in Europe.
You have a sharp eye btw with those pictures. Regarding lack of support, we feel you. My friends and family question whether I even have sleep apnea. What the big deal is having only one tooth occlude. What the big deal is not being able to breathe through my nose. They think I'm making stuff up or exaggerating. In our world, if you look fine you must feel fine. There are nice groups on FB btw, if you haven't looked there yet.