It is completely safe having a filler injected while having braces, there is no effects aside from possible swelling and/or bruising
In general, it is safe to have Juvederm injections when you have braces or even invisalign. However, if the Juvederm is to be injected in the lips versus the nasolabial folds or elsewhere, the swelling may cause some irritation to the inner portion of the lips until the swelling subsides. That is, the inner lip and braces may temporarily rub against each other. To prevent the possible irritation, have some some dental wax on hand to cover the braces next to the lips areas being injected. Most orthodontist offices will provide dental wax to cover the braces to protect the lips, not necessarily for Juvederm injections but for common inner lip irritations from braces, sometimes seen with regular eating and other activities.I hope this helps.