Sorry for the lateness of my response.
The problem is now solved. It was only a temperature problem, I thought that a hot air temperature around 300°C~350°C would be enough, it seems not. I used tape kapton to insulate the sensitive components near the HDMI port, and then from there I set the temperature to full, 450°C. The HDMI port unsoldered magically.
I inquired, why should the temperature be set so high to unsolder the HDMI port? The answer I found is because when doing any soldering/desoldering, whether with a soldering iron or a hot air station, the heat from the solder travels to the rest of the motherboard and to the trails around. Here, the metal part of the hdmi port is connected to the ground, which is almost present on the entire motherboard, so the heat applied to the HDMI port is very easily evacuated, and you have to send a lot of heat to melt the welds. We can say that the ground is like a big heat sink.
Finally, I will have made a huge topic for a problem as small as it is.
Thank you HelloMacOS for your help.