Well…
She had no choice but to leave the capital.
When she and Min Yu got married, Min Yu had already removed his name from the family tree and established his own household. So she and Min Yu were on their own, and neither of them belonged to the old mansion of the Min Family. Therefore, she spent these years at her own mansion, and the Min Family had no opinions against that. However, only Madame Min and her husband knew about it. It was unknown to the outsiders.
The reason why Min Yu did that was because he was trying to help her get rid of the suffering that might come in the future. The Min Family passed on the seats generation after generation, and Min Yu, who ranked the second, might not have the chance to get their children to inherit the Min Family since Min Qing came first, so she would not be in an equal position as First Ms. Min.
That was why Min Yu made some efforts to do this.
