you shouldn't have that problem at all. If anything, Windows 7 should work better than Windows 10.
You can go to the NT folder, do this for both patcher.exe and nostale.exe; Right click, go to properties -> go to the Compatibility Tab -> Make sure that "Run this program as an Administrator" is checked off -> Also you can click on "Run this program in compatibility mode for" and then try something like Windows XP SP3 -> Press Ok and see what that does.
However there should no be reason to do any of this. This seems to be an issue with your Windows install. You should just be able to install the game on Win 7/8/10 and it should work just fine.