http://trekmovie.com/2017/05/04/clare-mcconnell-talks-about-being-her-own-klingon-on-star-trek-discovery/> She also revealed that she has been training with a dialect coach to help her with speaking Klingon, but noted she has some flexibility in how she approaches the role:
> “Each series is such a classic thing, but also such an innovative thing,” she explained. “The actors have really been encouraged to make it their own. I’ve even been encouraged to make the Klingon language my own.”
I'd hope she's talking about Okrand's language there, but who knows... most people can't tell the difference; until this year I thought they spoke real Klingon on DS9.