Yeah, that might be getting late. If you take it first week of Sept, your scores will be official/added to your app around the end of Sept, and taking it the second week of Sept pushes it back to the beginning of October. Only when your scores are officialized will your app be complete. Then, schools will have to review it for a few weeks before sending you an interview invite. By this time, most/all pre-Dec interviews will have been filled up, so you'd be interviewing after Dec 5th. The trouble with this is that since Dec 5th is the first day schools start accepting applicants, their classes will start to fill up, sometimes quickly. There are a few schools who only interview until the end of Nov, and fill their class up on Dec 5th and are done with the cycle. The schools that interview after Dec have either a few seats left OR they might start interviewing for waitlist spots.
All of this gets tricker if you score average (~20), and you may have to reapply next cycle. If you score really high (~>24), you might be able to offset the lateness of your app with it. Since you've already applied and paid your secondaries, focus on taking the DAT as soon as you can, and scoring as high as you can. Then, just see how the cycle goes, and be prepared to reapply next cycle should you need to do so. I know this was a long post, but good luck!
EDIT: Also, looking through your past posts, are you sure you want to pursue dentistry ? " I worked in a dental office the past year I did not like it" it's only going to get worse if this is the case....