I have had the same problem. The quest says I have killed the warden of Oryx but not Alak-Hul. I have completed the strike twice meeting the parameters both times but no quest completion. If this is a bug it would be great if you could fix it.
Update: Abandoning the quest reset the progress and allowed me to go back and kill the warden and Alak-Hul and get the exotic sword.
Edit: this does not make you do every step of the quest again just send you back to the objective that says kill Alak-Hul and the warden.
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Abandoning the quest was super scary but I can confirm it works. You just have to pick it back up in the hall of guardians after you abandon (keeps your progress).
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It didn't work for me I'm still getting -blam!-ed over..
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Please elaborate
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thanks for the tip!