Of course, Mu’ayyid Ad-Deen was no more than a puppet governor, whereas the Tatars were the actual rulers. Moreover, things increasingly worsened later, and the new head, Mu’ayyid Ad-Deen Al-‘Alqami, was put to direct humiliation by the Tatars, not at the hand of Hulagu, but even at the hands of the low-ranking soldiers in the Tatarian army. The aim was to destroy his spirits, and deprive him of power, and rather make him inferior to the Tatars.
A Muslim woman saw him riding his mount, with the Tatarian soldiers urging him to go faster with his mount, and beating it with a stick. This was a humiliating condition of the new governor of Baghdad. The intelligent Muslim woman said to him: "Did the Abbasids use to treat you like this?"
The Muslim woman drew the attention of the treacherous vizier to the crime he had committed against himself and his people. During Abbasid rule, a vizier was dignified and given precedence over others, and had great influence on all the inhabitants of Baghdad, including even the caliph himself.

But now, how calamitous his tragedy was! He is humiliated even by a very simple unknown soldier, whose name Hulagu himself might not know. That is the state of everyone, O my brothers and sisters, when he sells his religion, people and his own self, thereupon he turns to be worthless in the sight of the enemies. The double-agent is valuable for the enemies only at the time he is needed; and once they get what they want, he becomes worthless.

It seemed that the words of this prudent Muslim woman had a great impact on Mu’ayyid Ad-Deen Al-‘Alqami. He went home in a state of anxiety and disgrace, where he remained in seclusion, and was seized by apprehension, distress and discomfort. He was among the first losers with the Tatars entering Baghdad. It is true that he now is (named) the governor of Baghdad, but a governor with no authority. He is the governor of a destroyed city, of the dead and diseased.
The treacherous vizier was no longer able to endure the new conditions. A few days after his anxiety and depression, he died at home! He died after a few months, in the same year the Tatars entered Baghdad, i.e. in 656 A.H, before he enjoyed any rule or kingship, or any fruit of betrayal; but he was rather a lesson to be learnt for every betrayer: {And thus is the seizure of your Lord when He Seizes the cities while they are committing wrong. Indeed, His seizure is painful and severe.} [Quran 11:102]

The son of Mu’ayyid Ad-Deen Al-‘Alqami was appointed by the Tatars as the governor of Baghdad, as he was a betrayer like his father. But, exalted be Allaah! This office seemed as if it were a source of pessimism for anyone who took it. A short time after his appointment, he died, in the same year Baghdad fell, i.e. in 656 A.H.
No wonder!
No one holds fast to this world but it ruins him!
When the Caliph held fast to it, he was ruined.
When the treacherous vizier held fast to it, he was also ruined.
When the son of the vizier held fast to it, he was ruined too.
The people of Baghdad held fast to it, thereupon they were ruined.

Our honored Messenger, sallallaahu ‘alayhi wa sallam, told the truth when he said: "By Allaah, it is not poverty which I fear for you. Indeed, I feel afraid that you will lead a life of luxury as those who were before you did, thereupon you would compete with each other for it just as they competed with each other for it, with the result that it would ruin you in the same way it ruined them." [At-Tirmithi on the authority of ‘Amr ibn ‘Awf, May Allaah Be Pleased with him]
The news of the fall of Baghdad became known throughout the entire world.

The fall of Baghdad, for the Islamic world, was an unbearable horrifying shock. Baghdad was not an ordinary city. It was not only the largest city on the face of the earth at that time, whose population was over 3 million Muslims, and had the greatest houses of knowledge and civilization on earth, and was one of the old bordering cities of Islam; but it was also the capital of the Islamic caliphate!

https://en.islamstory.com/en/artical/20760/killing-words