I recently ran a webinar for Bold Business Works website clients explaining what is up with mobile-responsive websites. You can watch the video here: https://vimeo.com/127071809.
Bottom line: More people than ever are accessing your website on a phone or tablet…so you want it to look and work well for them. PLUS Google now takes into account how mobile-friendly your website is when it ranks your website for search. So if it isn’t good on a phone, it gets factored into your ability to get found.
So if your website is a source of new business for you, you shouldn’t ignore this!