The one with rudolph and dead prince is the original story, the prince is alive becoming that's the new version, where instead of mc being sad and rudolph kills prince, mc makes a plan so that rudolph doesn't HAVE to kill the prince
Mc knows two timelines... One where she had her hair cut, was still Wed to that prince, and most likely suffered domestic violence, that in turn caused the childhood sweetheart doctor to plan the death of that prince to save his beloved. (This is that flashback you mentioned)
Another is the current timeline where Mc was able to prepare for proper engagement annulment by finding supporters, she still went with the condemnation event plus added the queen's assault so they wouldn't be able to cover up their misdeeds.
The placement of that flashback is in a really awkward spot, which likely is the cause of confusion. I hope this helps (๑•ㅂ•)و✧
Urghh i dont understant the last chapter.. why suddenly in the mid chapter rudolph come and said that the jerk prince is dead cause of carriage?? Then suddenly in the next slides,it shows that prince still alive??