I hope you have seen my answer to you on the hub where you asked, but if not, here it is again. I hope you are feeling a little better about this. I know it's scary and hope this helps a little.
Tbear- Sorry I didn't get to this sooner. I saw there was a question from you too, but for some reason, it only shows up on my mobile account and not my computer??
Anyway, first- take a deep breath. If you are having general anesthesia, that is actually a good thing. That means that a qualified anesthesia provider will be there administering the medication and monitoring your vital signs. That should provide some comfort.
Dental extraction does not fall into the high risk for anesthesia death category. I'm not sure where you are reading these horror stories, but the best I can tell, it would be an exceedingly rare occurrence. I've never, ever seen it or heard of it from my colleagues. It may happen rarely, but the odds are WAY in your favor. I hope that helps. The anesthesia doc continuously monitors your heart rate, blood pressure, oxygen level, breathing, anesthesia needs... And that's their only job. They are not also the same person that is doing the procedure - that's an extra level of safety that you get when you have general anesthesia (or have an anesthesiologist present during sedation).
Second, the anesthesia doc will need to know about the oxycodone. Be honest with them if you take more than the prescribed doses. There is no more danger to the anesthesia because of this medication. It may just make pain relief afterwards take longer to achieve. We give anesthesia very frequently to people who have been on astronomical doses of narcotic pain meds for years and years. The anesthesiologist will be able to do this.
If it will help, on the day of surgery, be sure to talk to your anesthesia provider before you go into the operating room. Tell them about your fears and let them answer any questions. I would consider your situation to be 'routine' unless you have a lot of serious medical problems that you haven't mentioned. Even the sickest of the sick patients almost always get through the anesthesia though. We work hard to keep you safe.
If you do have significant medical problems, you can always request to be evaluated by your primary doctor before surgery to make sure you are in as good shape as you can be as far as problems and medications. We call it being 'optimized' for surgery. If you have only minor or well-controlled medical problems, they may tell you this is unnecessary, though.
Good luck to you! The worst part is the waiting and anticipation.