I'd go for it. Spraying her with a permethrin solution is probably easier all round or mixing up a dip. I found the dosage online for pigeons - 1 Tablespoon of permethrin 10% per gallon of water. You can mix it up a larger lot and dip her into it keeping her head well out of the water. You'll need to re treat in 7-10 days to kill off any new hatching and I'd do it again in another 7-10 days to be sure you got them all. Permethrin is toxic to aquatic life (in case you have a fish tank) and all insects so be careful how you dispose of the mix.