Seen this before on search "Your Connection is Not Private" ? 

It can be a number of reasons, but more recently its down to SSL certification 
 
 
If your website takes text inputs in the form of login panels, contact forms, search bars, etc. you need to install SSL to avoid any risks or warnings.  
 
 
If you don’t implement SSL your visitors will see a “Not Secure” or "Not Private warning on visiting your site. 

Are you not sure what domain name to choose? Are you confused by if you should choose a ".com" or a ".co.uk" domain name.  Ian Burnett of It'seeze Warwick & Redditch is often asked these questions. Here's his advice.