No offense and I know it isn't the best advice, but if you have a storage device with a capacity that Windows update can fill up, I would call that an unusable computer. You should never have to install programs on an SD card, ever. Try reinstalling Windows, but if that doesn't help and the HDD/SDD is really "soldered", you should get a new(er) notebook / PC.
By the way, why did you remove your opening (first) post?... that made the thread meaningless and should be closed.