You very may well need a battery - they do not like to be in freezing environments like that, so it wasn’t very good for it. I’m going to tell you how to try and fix it, but be prepared for the worst.
What you may be able to do to potentially recover it is to try recalibrating it - sometimes it works to save these batteries, other times it does not. [guide|101517|Refer to this guide] for some general instructions, but keep in mind it isn’t possible to drain the Mac batteries to 0% and go from 0->100% like with most PCs (with or without a workaround).