In my view there is a less than a 10 percent  chance she calls it secret. The politics of the situation for her is the reason. She doesn't want to be a trouble maker in her own party which perception might threaten her campaign. She would prefer to decide open and then for the court to compel her to make it secret. Then she can say that it  was out of her hands. For her that scenario would be the win win which is why I'd give odds on her declaring the ballot open. Five to one. Any takers?