Hank's wound is not sufficient enough to justify putting Ladybird on the Vicious Dog list. Also, Animal Control doesn't shoot on sight; vicious animals are euthanized.
When animal control is hunting Ladybird in the retirement home she sits on the couch and puts her head on the lady's lap. When the scene changes and Animal Control, Hank, and Peggy are there Ladybirds size changes where she appears to be the size of a puppy and then is back to full size when the camera changes again.