The times they are a-changin’. Google is getting very picky about mobile displays when it comes to ranking your site. The good news is that usually you will get notification from Google Webmaster Tools if this is an issue, giving you a chance to fix the site. 85% of searches now happen on mobile devices!! Read this article for more info. OSTraining has a great blog and excellent support for Joomla and WordPress. I’ve used them for YEARS. Great people.