Deep creasing on the side of my lips when I smile after lip filler. Any suggestions? (photos)

This is a muscle called the modiolus and is your natural fold... it is not from the lip filer unless filler was placed there directly and is causing swelling.  I suggest a formal consultaiton with a facial rejuvenation expert.  Best, Dr. Emer.

Wait for a couple more weeks until the swelling from your lip augmentation subsides. Then, if this crease is still bothering you, go see your surgeon. It is not from your lip filler. Best, Dr. Nazarian

The day after Juvederm injection is usually the one that exhibits the most swelling.  This swelling can distort some features and cause some temporary wrinkles.  Just wait a few days and see if it gets better.  If it doesn't, I would go back and see the doctor who performed the injection.