It was on the bridge of the Section 31 ship, when Giorgiou was talking to Leland after Burnham and Spock "escaped". She told him to mind his manners or something and that he wasn't calling the shots anymore because she would let out the fact that he was responsible of the death of Burnham's parents.
And I do think that Lorca left her for dead, but I think she was rescued from whatever he did. Not 100% for sure, but I knew she wasn't dead.