Remote desktop is stuck on "securing remote connection". I am connecting to Windows 2008 VM on Azure from Windows 7. I have successfully connected for a few days before now. I have waited for over 15 minutes. I don't have local access to the server.
Please verify that your Windows Azure VM is in Running state from Portal first and then try to RDP. Based on your error and experience, it is possible that your VM is not running or have some issue. Try restarting the VM from Management Preview Portal or using PowerShell and then try RDP and it should work.