My OD was Sept 15. My first EDD was mid-Jan to mid-Feb.
Since then, my EDDs have been pushed MANY times with the worst push being late April - May. It got pulled back into the Feb/March time frame but again...been moving around (now at March 16-29). All that to say:
a) you can't trust the dates no matter how narrow they get
b) there is a chance that it can be pulled back in from your May to June date.