[Keeper of Dol Guldur]

IT'S A METAPHOR

Well, I am certain Galadriel struggled against Sauron himself, for she had seen the eye, somehow (probably through use of the mirror-where and how she picked up a trick like that, by the way, I would love to find out). But as for Caras Galadhon, well Dol Goldur was certainly it's opposing stronghold and it's opposite, and the Keeper of that stronghold was Khamul the Easterling, the second Nazgul. But he wasn't present at that time, he was either in Mordor or chasing Frodo, or Faramir, or riding a dark Hell-hawk. So the lack of an actual spiritual presence there for Galadriel to contend with leads me to believe that it was metaphor. While Sauron was there as the Necromancer, even he didn't know that Celeborn's wood was only like forty miles west of him. So a ringwraith definitely could not have perceived such things. Haldir was simply using a sort of extended view of the dueling hills, striving against eachother, and as for Galadriel's struggle, I think that was with the Eye.

The Power in Barad Dur saw many things, and though more than a match for Galadriel, one must remember that there are other strenghts besides power and intelligence. The elves had wisdom and intuitiveness, and innovation. Not technical innovation, like the dwarves or like Sauron himself and his orcs, but innovative plans. Remember that Middle Earth is a big place, scouring it for one person isn't easy, it's probably impossible.

But Galadriel sat on the high hill of Caras Galadhon and strove with Sauron, and I believe it was in similar fashion that Gandalf did the same, to draw the Eye from Frodo on Amon Hen. Caras Galadhon is a big hill, and Gandalf sat in a high place (probably the uppermost flet, or in the Mirror Glade), and then maybe Sauron perceived finally the location of Lothlorien. Not that it helped the hosts of nearby Dol Goldur much, that just meant they had enemies to fight on two elvish-fronts, not to mention any of the men along the Vale of Anduin that may have helped out.

The struggle between Caras Galadhon and Dol Goldur was merely personalizing the battle of good and evil, two hills sort of 'opposed' eachother. Galadriel's strife was with the eye, for she 'knew what it was, that Frodo saw.'