I've been trying to desolder a female USB from a PCI, but I can't. I've heated up the solder with the soldering iron, and when it was melted, I released the plunge with my solder sucker as close as I can. I've done this several times, sucking a good portion of solder. Nevertheless, the female USB is still rock solid stuck on the IC, it does not even move a single millimeter. I've also tried to press it gently, with my solder, in the opposite direction, but I can't move it at all.

You can see I'm trying to remove the one on the left. It has 4+2 pins soldered. As you can notice, I've even broken the left "leg" of the female USB, I think due to the excessive heat I applied cause it was not moving. I've heated up every single pin and used the solder sucker several times. I don't know if it's my weak solder sucker, but it seems I can't get it any better.
What should I do?
What am I doing wrong?

You can see I'm trying to remove the one on the left. It has 4+2 pins soldered. As you can notice, I've even broken the left "leg" of the female USB, I think due to the excessive heat I applied cause it was not moving. I've heated up every single pin and used the solder sucker several times. I don't know if it's my weak solder sucker, but it seems I can't get it any better.
What should I do?
What am I doing wrong?