Careful, do not just pull it out - it's spring loaded. You need to first push it in, then you can pull it out once it is partially ejected. If you are just pulling it out with tweezers you might end up breaking the mechanism.
I have very large hands and honestly I have no problem getting the door open and the micro SD card out, just a quick push with the end of my finger and it works every time. All the reviews complain about it too, so I was expecting some difficulty there when I got my Air but it has been a total non issue for me personally. I wouldn't trust myself with metal tweezers near the finish of my drone!