There are a few scenarios that might cause the (-1009) The internet connection appears to be offline error you're seeing.
The network you are using may be blocking the connection. Try switching to another network and see if the issue persists.
Make sure that TunnelBear is allowed through your firewall. You can also temporarily disable your firewall and see if you're able to get logged in.
Third party software:
It's possible that some third party security software might interfere with your Bear. I recommend that you disable any security software on your computer (anti-virus, VPN, proxy, firewall, etc.) and see if you're able to get logged in.
If you continue to run into issues, reach out to our Support Bears for further assistance.