[Boromir88]

Ok, there are a lot of arguments here that I want to sift through...it's rather difficult when not all quotes get properly cited. I'm going to jump around between different posts, so bare with me...

First, to get it quickly resolved, elben is correct that Galadriel saw Gandalf's return and sent Gwaihir to get him:

"Do not let me fall!" I gasped, for I felt life in me again. "Bear me to Lothlorien!"
"That indeed is the command of the Lady Galadriel who sent me to look for you." he answered.~The White Rider

Now as far as Galadriel reading minds. If I missed the quote cellurdur, I apologize and forgive me for asking again, but I still haven't a clue where you got it from. Not that I doubt you, because I can definitely tell you know your stuff, but it would be immensely helpful to actually get the proper references instead of digging to find the quotes you bold in your posts.

From what I've been able to glean (and this might change, depending on if I can find the part cellurdur is referring to about no being has the ability to read another's mind)...Galadriel could perceive thoughts and minds. It may not be a direct invasion of the mind, but it is still a powerful ability Galadriel possesses. That I don't think can be denied. I mean read The Mirror of Galadriel, where each of the Fellowship felt they were being examined, tested, and felt awkwardly "naked" in front of Galadriel. Add on top of it, the Halbarad arrives with the Dunedain to Aragorn's aid, because Galadriel saw that's what Aragorn desired and thus sent out word:

"They answered a summons, as you heard" said Gimli. "Word came to Rivendell, they say: Aragorn has need of his kindred! Let the Dunedain ride to him in Rohan! But whence this message came they are now in doubt. Gandalf sent it, I would guess."
"Nay, Galadriel," said Legolas. "Did she not speak through Gandalf of the ride of the Grey Company through the North?"
"Yes, you have it," said Gimli. "The Lady of the Wood! She read many hearts and desires..."~The Passing of the Grey Company

It's clear to be a power that Galadriel possesses and is quite the master at it. For it was also Galadriel who wanted Gandalf to head the White Council, and not Saruman.

There is also, quite clearly, a power that exists in Lothlorien, that comes from Galadriel, and can only be overthrown by Sauron:

Three times Lorien had been assailed from Dol Guldur, but besides the valour of the elven people of that land, the power that dwelt there was too great for any to overcome, unless Sauron had come there himself.~Appendix B: Tale of Years

The same might be said for Elrond in Rivendell, but Gandalf's statement that Rivendell would be the last to fall is rather moot. As G55 said, there's the geographic reason that it would be the last conquered. There is no way around it, Galadriel's power in Lorien could not be overcome, unless Sauron came there himself.

I had more specifically about Aragorn's kingdom, but my time is pressing, so I'll have to get to that later.

Cheers. Excellent discussion, if I may say.