Sounds like you have a good plan. Give this kitty some time to warm up to you and hopefully you will be able to hold him/her. That's great if your daughter has been able to pick the kitty up. It does sound like someone left this poor sweet baby but at least you are taking care of the kitty. Thank you for doing that.

I know I am feeding some strays outside my apartment and the girl when she was close to 6 months got fixed and I released her because her brother was waiting outside my apartment the whole day while she was at the vets and he was 6 months at the time so I didn't want to separate them. She keeps coming back for food but she doesn't want anything to do with me. She just watches me give her food and when I go inside she comes creeping up the sidewalk and gets some food. As long as I can provide her with food and water then she will hopefully open up to me someday.