WallpaperDownloader doesn't depend on Google at all. I think your problem is that the network your PC is connected is "protected" by a proxy, so all the connections your PC can establish are filtered. There is no way to bypass this except using a VPN service or establishing an SSH tunneling and redirecting all the connections to it.
Did I get it right or maybe you wanted to suggest another kind of feature for WallpaperDownloader? Thank you very much for your interest and for using the application!!! :)