In the long ago days when the world was young, third party drivers were distributed as a bunch of files (sometimes zipped together) one of which one was an xxx.inf file that told the Windows install new devices wizard how to use the other files. You would go to device manager and start the device installation wizard, tell it you had the drivers and point it to the location of the xxx.inf file and it installed. That became too cumbersome for the average user, so the third party driver developers began to provide xxx.exe files that automated the whole process, from unpacking to checking for appropriate hardware to uninstalling old versions to installing the driver. Nice. Then if you knew you you had the latest driver exe you just ran it. Still too complicated for modern users. Since MS now charges a substantial amount to driver developers to certify and sign their drivers, they began to throw in the ability to automatically discover and install drivers from Windows Update. If the developer already had his drivers in the update catalog, it was an extra trouble and expense to design a stand alone driver package, distribute it from their own site, and field questions about which version was current etc.
Windows 10 uses a driver store system that provides pre-screening of drivers for completeness and signatures and then moves them into a protected driver store, from which they would be available to be installed. The new system requires that the installation files first be moved to the driver store and then installed from there. There are significant security advantages to this in addition to making a smooth running automatic update process. The process of moving your driver in and out of the driver store is called staging, and it requires certain operations that are automatically performed by Windows Update, but must be manually done if you want to install then directly. You probably still have the driver that you "lost" in the driver store for Windows. You can find out if you open a command prompt with elevated privileges and type "pnputil" without the quotes. If your driver is there, then you should be able to re-install it from that location without needing to download the xxx.inf etc. If the driver is "lost' try deleting the device from device manager and then re-installing (or just plugging it in) again.