What are the legal consequences of my action?

On the way to kickboxing class, there was a pedestrian on a residential road. He wouldn’t get out of my way so I had to go around him. He started following my vehicle and caught up with me once I was in the parking lot. He thought I’d gotten too close to him while moving around him, and said that I’d almost run him over and he had my license plate number and was calling the cops. He said “have fun getting pulled over.”

I headed home immediately because he was aggravated and I didn’t feel like my car would be safe if I left it alone while I was in kickboxing. I was expecting to be pulled over, but wasn’t.

I’m a little nervous now because I don’t know the legal consequences of my action. I thought I’d given him enough room, but his perspective is as valid as mine and he wouldn’t have gotten angry if it weren’t a big deal. And there’s no saying who’s word the police will believe. Should I just agree with the pedestrian so he doesn’t get even angrier at me?

He seemed like a teenager, and it’s been 40 minutes and nothing’s happened. Is it possible that there are no consequences and he just didn’t know that? How soon should I expect a talk with the police?