'You have earned the trust of my people, Name. Let me know if you have a desire to see the beauty of Caras Galadhon.'
You have earned the trust of the Elves of Lothlorien, and the Galadhrim Guards outside of Caras Galadhon will allow you to enter.
Talk to a Galadhrim Guard outside Caras Galadhon
The Galadhrim Guard outside Caras Galadhon is waiting to speak to you.
The passive skill:
Trusted in Caras Galadhon
Completing this quest also completes the deed:
Friend of Lothlorien
You can get this skill & quest only after you have acquired the reputation of friend with the Galadhrim.