Doesn't she love Yi Zheng as much as I thought or is she just that dumb?

I don't understand Li. Why the hell would he risk the well being of Qin, the state she lived for years in the the state her husband rules to help
the prince of Yan? She isn't even that close to him, they had like 2 or 3 conversations? It also isn't like Yi Zheng is about to kill him. He did explain how he feels when they sat at the table. He can't let him go bc he is outstanding and could be a threat to Qin even though he is his friend.
And still she takes Prince of Yan side, its the same as if she would back up Yan.  Doesn't she love Yi Zheng as much as I thought or is she just that dumb?
I already feel bad for Yi Zheng when he finds out that she, whom he trusted to only be on his side and not to ally with any state, betrayed him.

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