When most people elect to have a full treatment of Botox this includes the forehead, glabella, and crow's feet. But that doesn't have to be the case. You can elect not to treat any area, but just realize that area will still have movement like normal. It won't make you look like a "caveman" at all to elect not to treat your crow's feet. Did you have Botox done around your mouth, or fillers? Even around the chin and mouth, Botox shouldn't cause swelling. Fillers would.
"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."