A.T.
Key is to warm the bathroom. Run the hot water via the shower and let the bathroom steam up a bit. Get all you need for her, towel, clothing, blanket, everything. Once steamy and warm, get in there, lock the door and give her her bath quickly. Dry her off and dress her in the warmth of the bathroom. When you come out of there, she will be bathed and bundled and won't feel the cold going on in the house.