You also need to uninstall KB3044374, if you have it. Uninstall it by the same method.
After uninstalling both KB3044374 and KB3035583 make sure to set updates to "check automatically but ask me whether I want to download", this way you can make sure that when KB3035583 and KB3044374 are reoffered they won't be able to install themselves in future.
Sometimes hiding is not enough to prevent the update installing again, because it unhides itself every time it is re-issued in a slightly altered form, you need to make sure your approval stands between updates and installation so that you can make sure to uncheck these from the list every time they are reinstalled.
Set updates so they cannot install until you have given those you want the ok to do so and make sure to check "windows update" in "control panel" every wednesday morning and see what updates are being offered to you, tick the security ones( named "Security Update for ..." )and install those, untick these ones relating to windows 10, and for the rest, tick or untick individually after assessing which are worth having by loking at their "more infromation" links.
GWX.exe and GWXUX.exe might remain behind but with the updates uninstalled they should not be able to run, if they do continue to cause trouble (Which they almost certainly won't once you uninstall those updates and ensure they can't be installed again in future) then the files can be renamed to prevent their execution, but it is not straightforward do this, it carries some risks and any user in a position wishing to do this must make a system image first. Such renaming (as complete as deletion as far as the OS is concerned, also equally risky, but unlike deletion renaming is reversible by the user) of any remaining files, and sometimes no gwx related files will remain at all, should generally not be needed, but there are ways it can be done if absolutely required.
Edited by rp88, 27 August 2015 - 02:05 PM.
Back on this site, for a while anyway, been so busy the last year.
My systems:2 laptops, intel i3 processors, windows 8.1 installed on the hard-drive and linux mint 17.3 MATE installed to USB