It shouldn't be something to be concerned about but we have purchased a SSL certificate for ChessConquest, and are just waiting for our service provider to install the certificate.
As soon as the certificate is installed the "unsecured" warning will disappear. The certificate installation should be completed within the next 2 days.
UPDATE:
The tec guys are in the process of setting up the new SSL certificate.
There seems to be some technical delays with the configuration due to the fact that our website is behind CloudFlare, which provides additional security and protection.