“Turned Right At Three Way Intersection...”

Today something happened and I want to confirm if I made any mistake.

I was approaching a three way intersection on a road with two lanes. One lane for each direction. I noticed a bus parked well ahead of the intersection (maybe 20 meters or around that) in the opposite direction and its red lights were flashing.

As I was not going to pass the bus and it was a little far from the intersection, I turned right. However, the car behind me stopped. Maybe the car behind me was to go straight and

hence stopped. However, I did not pass the bus as it was well ahead if me and I turned right. Do I need to worry?