The judge did, however, give permission for the Core Issues Trust to appeal to the Court of Appeal.
Although she did not think such an appeal would succeed, she said there were "compelling reasons" to allow it to go ahead.
She said the case "concerns interference with the right to freedom of expression which is a matter of such fundamental importance that it merits consideration by the appellant court."
More top news
As Tibetan Buddhist communities celebrate Buddha's birthday, Lydia Polzer explains the true meaning of the special event.
Video has emerged showing a man being tasered by police during a tense stand-off in east London.
A man from London who was the subject of cruel online taunts has had the last laugh when a group of celebrities threw a party for him in LA.