You have earned the trust of the Elves of Lothlórien, and the Galadhrim Archers at the border must be told you are not an enemy.
'You have earned the trust of my people, ${PLAYER}, but it will do you no good to pass beneath the eaves of the forest unless someone alerts the archers hidden along the border of your nature.
'I will do this. Speak to me again when you wish to enter Lothlórien.'
The Galadhrim Look-outs along the border are waiting to speak with you.