A Duel... That is what we call a public official fight between two. But this... Was not a duel. It was a humiliation at best. An act out up by the one who is obviously losing for herself. The crowd surrounding the younger woman and the noble man laughed at the woman. She threw bold attacks which were obvious. The nobleman made her fall and even humiliated her in language, showing a lack of pity and more of a cold tone.
Nobleman: "Get back up. Your punishment is not over."
He showed little mercy. But he took her seriously non the less, even tough they all laughed. He seemed to be a very experienced man.
Aleka: "I... Am not done yet."
She said with pain and tears. She was trying not to cry. Because she knew she could not win. It was always like this. That is why she acted so cocky towards everyone. And that is why she is currently getting beat up in public. A short 'fight' later, she is beaten, laying on the ground. And the nobleman said one last thing to the crowd before leaving.
Nobleman: "for all of you, this is a warning. Do not get feisty with us nobles. If you don't want consequence."
What we witnessed here was nothing special. It was a regular thing in this great capital. The noble people treat everyone like trash...
I recommend asking around a little. The man there with the long beard seems to know the full story...