I find it a whole lot more funny they finally found themselves face to face purely accidentally like this. And it was not even when she was running from the "stalker", it was now later when they were basically just chatting.
The moment the "stalker" appeared, I immediately thought it's just some poor fellow who finally decided to start exercising, yet his physical condition was so abysmal that running 100m would already make him wheeze like a pervert puffing in the dark. Maybe that's the legacy of having watched Men in Black (a lifetime ago). It had the funny scene of Will Smith pointing out, at the shooting range, the alien target figures were just happy fellows working out, not any threatening monsters.