Whenever I see her on a talk show or something I am shocked she got this part at all. She has a really funny, zany personality that is perfect for a rom com but not so queenly, really. I sometimes wonder if, when they cast Dany, they were focusing too much on Season 1 and not enough on later seasons, when she would have to act like a queen. To be fair, I think she is generally pretty good, but every now and then her queenly scenes feel a little silly.
On the other hand, maybe that's thematically appropriate. Dany wasn't really raised to be a queen, so there's no reason it should necessarily seem to come naturally to her.