Forces from Dol Guldur also attacked Lorien three times during the War of the Ring, so someone with military authority and initiative was in charge there. Basically, we don't know enough about the hierarchy of Mordor, and there isn't enough infomation given by Tolkien to be too specific about this, or know exactly how Khamul, the Mouth, Gothmog and any others ranked, especially in the immediate aftermath of the Witch-king's unforeseen destruction.
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