Since my post in May I have uninstalled Avast, upgraded to Win10, tried Panda, removed it because it would not let me finishing install another software, cleaned registries, removed remnant files with Glary Utilities, Crap Cleaner and Revo Uninstaller, removed Windows.old.... Today I have reinstalled Avast, hopin no memory effect, but the Web Shield problem is still there! The only way to get a connection to the internet is to turn off the web shield.
I even tried to add the Web Shield to the list of authorized programs in Windows Firewall, thinking that might be the culprit, but I do not find any executable corresponding to the Web shield, just a dll.
I'm now staying with Web shield turned off, but it's quite surprising that such an issue affecting so many users (do a web search and you'll see how many!) has not been addressed yet.