2005 Hyundai Elantra problem starting car

I've unfortunately not been able to get to the parts store where I purchased the battery. We have temps of -28 still today but I'm in the process of going outside to see if the car will even care to start. I was thinking the chiming noise it makes when I do try to start it was meaning something?

Ok, guess I'm needing to bundle up and go see if it will start for me now then. The terminals don't really look corroded, but the right one will turn so is a little loose but also won't tighten up anymore than it is. The man from roadside assistance did try to tighten it but the bolt is as tight as it can get.
These temps are supposed to break early afternoon today but still be frigid. I'm hoping the battery is the problem as will be an easy fix then. I hate making the guys at autozone have to go out in this cold and mess with it but, that is where I bought it so they need to do the checking, IF I'm able to get down there. I'll make sure to post here later in the day what I do find out but yeah, if it's just a faulty battery I will feel much better to get that replaced instead of say the starter or alternator like some feel is the problem. Wish I was a car savvy gal lol

Hello! Autozone replaced the battery, but the guy was a bit insistant that the problem was my alternator. I learned I had purchased a battery that came with a 2 year full replacement warranty so I was feeling great about that as well. It's 4 a.M, I went outside a bit ago and the car started right up with not a bit of hesitation! I'm feeling confident that after all the worry and stress, that the battery was indeed the issue after all. Thank you so much for your assistance, it really did help me ;o) Have a wonderful weekend!