Nona has recovered from her experience in the Rushgore, and is now interested in learning more about the Elf-woods of Lothlórien before you both leave.
'Within the woods of Lórien, guests of Lord Celeborn can recover from their hurts and the toils of a long road. It is my hope this reprieve was of use to you, ${PLAYER}. In these dark days, no time of rest is as long as we might wish it to be. It is nearly time for you to depart again.'
With one motion of a lovely arm, Galadriel directs your gaze to the flets that cling to the bole of the tree.
'Nona has made as full a recovery as she could have, and a greater one than I expected of her. She is waiting for you at the ladder down from these flets. I have made it known that it is my will she be permitted free movement within the hedges of Caras Galadhon. Show her the city of the Galadhrim, ${PLAYER}. We will speak in my garden when she is satisfied with her exploration of what this city has to offer.'
Nona is by the ladder down from the flets on which stand the House of Celeborn.
Nona is waiting for you to show her around Caras Galadhon.
Now that Galadriel has given permission for Nona to explore Caras Galadhon, you should bring her to see several of its notable locations: Celúrlin, the White Fountain of Caras Galadhon, and several of the flets where much of the work of the Elves is done: the Telain Galadhrim and Telain Melthin.
Having shown Nona around Caras Galadhon, you should now speak with Galadriel in her garden as she requested.