Double standard judgements
Michael is willing to give M.Georgiou ,a war criminal who was about to slit her throat , a pass but she's not willing even to show an ounce of empathy for Tyler.
Empress Georgiou is nothing to her but she saved her on the bases that she is the Mirror counterpart of her beloved ex captain whose death she feels guilty for. ( it still doesn't make sense what she did ..in my opinion it was only a script move because the writers needed the character later to move their story on).
She even suggests she should have political asylum....It's usually those persecuted by a hostile government that seek political asylum, which is not M.Georgiou's case,right?
On the other hand she feels betrayed by the man who without doubt loves her ...in all honesty Tyler was sure he would be able to keep under control what ever was happening to him ..he wanted to go on mission with Michael because he wanted to be there to protect her .
When M.Voq started reciting the Klingon ritual prayer Voq's mind overrode Tyler's ..he couldn't do nothing to stop it.
Now that Tyler needs her most , she turns her back .