Updating to the latest version of what?
Safari and OS X are two different programs/apps what ever you want to call them now days.
I have been running OS X EL Capitan since they released the public version about a year ago. I'm currently running version 10.11.6https://en.wikipedia.org/wiki/OS_X_El_Capitan
Safari is something I hardly ever use. My main browser is Crome.
I just looked at our site on Safari quick and seemed to look ok.
I see my version of Safari is 9.1.3
So did you just update your OS or Safari?
What version of Safari are you running?
I was able to bump up the text size in Safari using command & +.