Police car behind me, no shoulder to pull over—did I do anything wrong?

Recently, a police car ended up behind me, and I’m wondering if I handled the situation correctly.

I’m not completely sure whether the officer had the siren on, the emergency lights on, or both, but I do remember seeing the lights. The road was a single lane with no shoulder, so there wasn’t really anywhere safe for me to pull over and let the police car pass.

I think the officer may have honked at me, but I’m not certain. A few seconds later, we reached a traffic light, and when I stopped, I was finally able to make enough room for the police car. The officer then used the opposite lane to get around me and continue on.

Did I do something wrong here? Since there was nowhere safe to pull over immediately, I just kept driving until I could make room at the light. If I did make a mistake, is it likely there would be any consequences afterward, or would the officer have stopped me at the time if there was an issue?

Just looking for some insight on whether I handled this correctly.