You may prepare Installation Media USB, using Microsoft Media Creation Tool : https://go.microsoft.com/fwlink/?LinkId=691209 . Download this utility to your PC (with Windows 10 O.S), insert an USB stick (8GB at least), and run this utility to create bootable Installation Media for Windows 10. Booting from this USB (press F10 after Power ON your Intel Compute Stick to enter into Boot Menu), will enable to enter into Windows 10 Advanced Menu and try to repair your O.S.
Another way to enter the Advanced Menu, is to power on your Compute Stick and just while Windows tries to boot, disconnecting the power. Do this three times. On the fourth attempt to Power On, do not disconnect the power cable and Windows will boot into Advanced Menu.
If you have Windows 8.1 installed, you should use USB with Windows 8.1 only.
After powering you Compute Stick ON, you should see Intel logo. Press repeatedly F10 and it should boot into Boot Menu. I Once you see the Boot Menu, move cursor to the line with your USB stick. You probably need to connect a keyboard also in order to be able choose this line.
Your USB doesn't appears in the boot menu because probably is not bootable. You may verify this, trying to boot from it in your PC.
You may also boot automatically from bootable USB. Enter Bios settings (press F2 during boot) and in Boot section, change the Boot priority -set USB as the first boot media. Press f10 confirmed by "Y", to set settings and exit bios.
You may also try to enter into Windows recovery environment. Press F8 when you see F2, F7, F8, F10 Menu. In this environment you may try to fix Windows.