Why am I so paranoid? Is this healthy?

I've always wanted to try walking or running early in the morning say 5 or 6. I would especially like to take my dog with me since he doesn't get out much, which is awful I know. I'm just so scared of running into a stray dog and my dog getting attacked. We've had bad experiences with other dogs while outside. My dog is also an instigator which doesn't help. So i'm planning on purchasing a taser just in case. I couldn't handle anything happening to my baby. I was thinking it may be a good idea to go to a nature center, not the park because there are too many dogs. I love nature, but I'm paranoid about woodsy areas and it has many trails. I'm afraid of what could be lurking because I notice many killers have a liking for wooded areas? is it normal to feel this way? I just want to be able to take a nice morning walk without having to worry about being killed or my dog getting injured/killed.