Due to the properties of Juvederm, it is typically not my filler of choice for the tear trough area. It is usually quite hydrophilic and can cause significant edema. You should follow-up with your practitioner and it may be a good idea to try a few doses of a diuretic (a water pill) to get rid of the swelling.
I have put patients on a medication (steroid or antibiotic) if they have some type of infection, like Cellulitis. Not just for "puffiness". So I assume you were diagnosed with an infection? Assuming you have an infection and are taking the right medication, you should start resolution within a few days. When injections are done under the eyes they are normally put into the tear trough (or really, under this region in the upper malar area), not directly into the lower lid because I can't understand why you want your lower lid more filled; you want the region under that filled in.
"This answer has been solicited without seeing this patient and cannot
be held as true medical advice, but only opinion. Seek in-person
treatment with a trained medical professional for appropriate care."