My precious granddaughter was bitten by a cat on Sunday. If they can't find it, then she'll have to have rabies shots. Her hand is double it's size and she's on antibiotics. Seriously, if you're bitten by a cat, secure the cat and get to the emergency room asap.
I hope your granddaughter doesn't have to go through that. But God bless her, and give her strength if she must.
I am sorry to hear about your Granddaughter and I hope they find the cat. I would try soaking her hand in very warm salt water several times a day to help the swelling to go down.
I am not joking about the very warm salt water (as warm and as long as she can handle it - but do boil the water so that it is as sterile as can be). It will give her some relief as puncture bites can be very painful.