Would you ladies be paranoid so me and my fiancée are taking are daughter and puppy for a walk at…

Would you ladies be paranoid so me and my fiancée are taking are daughter and puppy for a walk at night and we pass this car that is in the middle of the street and has it’s lights on but just sitting there so we keep on walking past it and it starts to follow us and then stops where we stopped for a second and turns off it’s lights and parks there so I walked fast and went home and left my fiancée cause I’m more worried about are daughters safety but my fiancée is saying I’m being to paranoid 🙄