Go to the Living Room every Monday to catch her and Anna having conversation there and pick the right dialogues. Do that 3 times ( 3 Mondays ) and Charlotte will ask you to join her in her Yacht on Monday.
When you're on her Yacht, pick the right dialogues and you'll get intimate with her. Do that 3 times ( 3 Mondays ) and when you go to the Studio, you'll be able to invite Charlotte to the Studio.