J.,
I homeschool my 3 children and my niece here in Missouri. I have had no problems and am sure that if your social worker is honest she would say that a stable one on one education, no matter how temporary, at this time in your grandchild's life would be a great comfort and asset to the child.
Children need to know that someone is on their side. THere is something that happens when you sit down with a child and a good book that no one can ever take away from either of you. Also if you want to teach the child about your faith there is no better way than for them to see it lived out before them.
Don't be too hard on yourself or the child. Notebooking for some children is a great way for them to express themselves.
Notebooking is basically making a report or a booklet of everything they have learned on any given subject. My son did one on eagles. It is full of pictures he drew, photos, and loads of information. He enjoyed it and learned a lot.
Relax and enjoy teaching them remember academics is not everything.
If you would like any more info or help you can contact me at ____@____.com
Homeschooling is the hardest job I ever loved.