Can I gift my daughter a house while I am alive and not on my deathbed, considering that she has a paternal brother who is currently living with his Christian mother, and who my husband hopes to raise as a Muslim?
Yes, you can gift your daughter a house while you are alive. The house ownership will then be transferred from you to your daughter and it will not be part of your estate after your life and one from your family will have right on that house but your daughter only whom you have gifted.
'Wassalam.