Wouldn't it be easier for You, to take out that small PCB with microSD first (not disconnecting ribbon, just laying it flat)?

Also, You nett quite a high wattage soldering iron to heat up cooper layer, that You solder to. As for soldering iron, I'm using self-made contact parts (this part that is heated and You touch soldered part by it - I don't remember English word for it) - I got ones from very thin, to large as regular flat screwdriver's end.

/Estel