At this point, Harriet was essentially at Meesei's mercy. She had to push through the pain of Harriet's claws thrashing against her arm, but they were weakening with every second that passed. Meesei's grip was restricting her breathing, and her eye socket was filling with blood. Even if Harriet somehow freed herself from Meesei's grasp, her damaged vision would all but guarantee Meesei's victory. Killing Harriet would be easy, but the duel did not necessarily need to end with a death, and she still wanted to keep Harriet alive. 

Now was the time to force Harriet's submission. Her surrender would be just as effective at proving Meesei's dominance to the clan as her death, perhaps even moreso. Alternatively, if Harriet refused to give up, Meesei could just continue to constrict her windpipe until she fell unconscious. It would not be immediately lethal, and enough of her magicka had returned that she could probably keep her alive. 

"Surrender, and keep your life!" Meesei shouted, her voice echoing through the now-silent chamber.