You're not going to survive on your own. At best you'll burn through your personal supplies REAL fast and have no way to really grow more in time. More likely you won't even survive the first cold night.
Similarly, people also underestimate just how easy it is to sneak up on people. Unless you plan to have a 24/7 watch AND understand how to keep on lookout at night (it is deceptively hard because of how quickly your pupils will re-constrict with even a bit of light), you just need one halfway competent person with a rifle to end your life and take all your shit.
Same with the idea that "my gun is going to deter people". How are they going to know who does and doesn't have a gun? The Bad People who salivate over this are going to assume EVERYONE is armed because guessing wrong means getting shot. Just play any Battle Royale/Extraction Shooter to see that in action. And unless you set up a giant perimeter to let everyone know where you are and that you are armed, it is going to be any other chance encounter as people likely follow the same thought process you did when you staked out your cabin in the woods. And if you DO have a giant perimeter... then they KNOW you are armed and probably have good stuff.
Like almost all things gun nut: it is all about fantasizing about some REALLY horrible shit if you break it down.