Oh, look, someone she owes an apology to giving her advice. That's not awkward. Not one bit.

"My life is centered around what I can make people believe, which is what makes this all the more difficult for me." Not the fact that she's never honestly apologized to anyone ever before. Nope. That's totally a non-issue.

She gently folds her arms in front of her chest and cups her elbows, her gaze slipping from his face to the ground in front of his feet. There's a rather long silence before she speaks again. Even then, her voice is quite soft. "I don't suppose there's any way we could forget the fact that I brought up such a terrible subject when last we met? Had I known talking about where you come from was going to cause such trouble, I would never have spoken of it. It was never my intention to dredge up a topic that made you so uncomfortable."

...is she saying 'sorry' without actually saying it?

Yes. Yes she is.