Exit the game, go to your Control Panel, go into Windows Firewall, click Allow an app or feature through Windows Firewall, Click Change Settings- find the entry for EliteDangerous32.exe. Click Remove and reboot your PC.
Once rebooted, go back into Firewall settings, click Allow another App - click Browse, navigate to C:\Users\%username%\AppData\Local\Frontier_Developments\Products\FORC-FDEV-D-100x and select EliteDangerous32.
Click Add. Click the box for Public. Click OK. Restart your PC and try Elite again.