What kind of behavior got her kicked out of the public school?

She really does have quite a bit of stuff to deal with......and having her for only one day a week really limits the amount of input you have on her overall behavior.

But what you can give her, is consistent expectations for her behavior when she is with you.......and lots and lots of love!!

She is lucky that she has people like you who care and love her.......although she may not appreciate it right now........ just keep letting her know you love her........with no strings attached.