She may have told him about the attempt at an aborption, but I doubt she will ever tell him about giving Omer away. She was truly ashamed of that and as understanding as Savas was I think he would have been shocked at that. I can only envision it, if as the wife of the Aga and she was in the middle of social reform in Van and pregnancy came up in her campaign or the sale of infants came up in Van - only then can I envision her sharing that dark secret with Savas - her shame was too great!
Speaking of abortions, Yasmin also tried to get one when she was pregnant the 2nd time, and Pelin tries to stop her.