Filler and the corner of the mouth
I do see the slight drag on your right angle of the mouth. While it is possible to get that kind of drag from filler, it is also possible to correct it with filler. I recommend you return to your physician and discuss the possibility of lifting the right corner of your mouth to match the left side.
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One side of mouth droops after filling a dimple wrinkle on that side. Is it because of the filler or deviated septum?
Asymmetry of the face is very common especially in minor cases as yours. Best to have detailed GOOD photos and do a split views so you can see the issues involved...