No, she explicitly says they are *not* daughters of Odin, but "he does like us to call him Daddy sometimes."
No, in answer to Harry calling the Valkyrie "virgin daughters of Odin." She gives him a big kiss and a wink and then says don't believe all that you read. "Though to be honest, sometimes he
doeslike us to call him Daddy."
Here is the quote from Battle Ground page366
I nodded. Then after a while, I said, "If she's an Einherjar, now. . ."
Gard shook her head. "Not until the memory of her has faded from the minds of those
that knew her. That is a limit not even the Allfather may cross."
So Einherjar, not Valkyrie, and it is pretty clear that we will not be seeing her anymore in this series, because Harry isn't going to forget her. I also take it to mean she cannot even be an Einherjar till all memory of her has faded. In other words they don't want her to come back and have people know who she was.