Just be patient. The game is most likely just downloading in the background and will appear in your downloads after some minutes. To check your download progress just check the icon on your taskbar.
I know it is kind of inconvenient but that is the only way to check your download progress. If the game doesn't download you should close the launcher, reopen it and then download the game again. If that still doesn't work we recommend you should reset your pc. Also remeber to keep the launcher open while downloading stuff or else it will delete the files.
I hope this tutorial was useful. Bye and Godbless.