Would Lorien fall

[rudeboy]

If for example Saruman was right and the ring had floated down the river and into the Sea, would Lorien be safe? I know that everywhere else would fall; Gondor, Rohan even Rivendell would as Gandalf says in FotR Chapter Journey in the dark, "To go back now would be to admit defeat,.... before long Rivendell will be under siege and in a brief and bitter time it will be destroyed" that would be going back with the ring! Is Lorien the only place Sauron couldn't conquor without the ring? Or am I wrong. Is the only way for him to conqour Lorien without the ring, to go there himself? Or could a massive army like in the siege of Gondor be enough to break it?