Tegwyn agreed to relinquish the Uruk sword to you.
'I must be honest with you, ${PLAYER}. It is clear to anyone that you are already an experienced adventurer, with many skills. I did not really expect you to treat me like a grown-up. But you have taken the time out of your day to show me what it takes to become an adventurer!
'I have seen enough. You have upheld your side of our bargain, and I will do the same. Here's Madthrug's weapon, as I promised. You'll bring it back to that Ranger for me, I expect? Mother and father will be pleased, but I still say I could have handled such a weapon!'
Meneldir is by the east gate of Mossward.
Now that you have recovered the Uruk blade, you should bring it to Meneldir.