When I'm afraid of something I always do something else to counteract that fear. Afraid of starving? Eat some food. Afraid of being cheated on? Date someone you can actually trust.
In short, do what soothes your heart and mind! If I were you, prepping for the zombie apocalypse would make me feel better. It's only logical. If you had 5 years of food stocked up and a bunch of water
would you still be afraid? I bet you'd feel much better. It's A-Okay to prepare in my book!
On a more spiritual level feeling excessive fear, feeling unsafe, and unprotected, can also be an imbalance in the "Root Chakra". Best of luck to you. I hope you feel much safer soon!!