Khaleesi never meets Tyrion 

Tyrion hasn't met Dany as yet in the books. He is captured by Mormont and then sails with him to Mereen but is captured by slavers en route. The pair is then sold the a Yunkish Master, who is camped along with the Yunkish Army outside Mereen. Tyrion is forced to perform a mock joust along with another dwarf whom he meets on his way to mereen at the opening of the fighting pits.   And finally.... But it’s really the North we should care about. White Walkers and giants, wildings and crows. And Jon Snow. Jon Snow is dead. Tricked by Olly to go outside where Alliser and others waited under the pretenses of having information about Benjen. Jon is the central figure in these stories. His own story is far from finished. We’ll have to wait and see.