The machine was most likely engineered without Win7 in mind. There are other OSes out here. The design works well for the USB ports, since you do not want people to close the cover with the USB in place.
If they DID design it to have the card permanently in place, they may have just installed the wrong type of SD dock. There are two basic types of sd card dock. One allows the card to be swallowed and it latches in place. The other leaves enough sticking out that you can grab it and pull it out. It looks like they may have assumed one and got the other.
Either way, the solution is simple. A file, end mill, sandpaper or grinder will remove .2 from the card. The electronics seldom extend all the way to the end of the card. OR.... a 1/8 inch end mill will make a slot in the door for the card to slip through.
Measure twice. Cut once. Weld. Repeat.
( Welding solves many problems.)