Try to reboot the System in "Safe Mode with Networking" and see if that loads the such website. Also i would suggest to reset the Winsock. I'm attaching a batch file download it then extract the winsockfix.bat file then right click and Run as administrator then reboot the system and test it. Also download Malwarebytes and run a complete scan to make sure everything is OK.
Have you tried to add internet explorer to exceptions :
Control Panel -> Windows Firewall -> Allow a program through Windows Firewall -> Change settings -> If IE is not on the list, click Add a program exception, navigate to "C:\Program Files (x86)\Internet Explorer\iexplore.exe" -> For IE, check both, public and private.
It might be corrupted DNS cache. To clear the DNS cache in Windows7, Click Start > All Programs > Accessories > Command Prompt. Right-click on it and select 'Run As Administrator'. Type the following and hit enter: ipconfig /flushdns
Click "Main" > check 'select all' (except for Prefetch) this first time using it, then click "Empty Selected". Do the same for FireFox or Opera if you use either of those browsers.
Finally go to Control Panel > Internet Options.
On the General tab under "Temporary Internet Files" Click "Delete Files".
Put a check by "Delete Offline Content" and click OK.
If that all fails then possibly some Network setting that is messed up. Try to disable IE from the Programs and Features then remove you Network Drivers completely if you don't have any custom settings in router reset it to defaults then install your Network driver and enable IE and try it.