Shiner shouldn't freeze solid in a refrigerator, but the freezer will do a number on it. Ideally, you want to serve it in the 25F range. Usually, you'll accomplish that at serving time with above-freezing beer, and a thoroughly frozen glass. If you're going to cool it in the freezer, you should only do so for a relatively short time. Your freezer is probably at about 10F, so it's WAY too cold for anything more than about 15 minutes.
I wouldn't worry too much about the quality after freezing. It's not going to be as good as it should be, but it won't be bad. I've made the same mistake by putting it in a cooler with too much ice.
