If I recall correctly these two haven't met yet... at least not since Dany was a toddler. Did you think about what the impact would be if they meet as adults?
In the book it seems that Jaime has a powerful feeling of great loyalty toward Reagor and his family (aside from the mad king). Even more of a loyalty to them than he does to his own lannister family. After all he told the Mad King not to trust his father and not to Tywin and his army through the gates. He also wanted to save Reagor's mother from being brutally raped by the Mad King and felt horrible that he wasn't able to... then he also failed at saving her from death at the hands of Gregor. He also begged Reagor to let him fight by his side and help him at the trident. Reagor refused saying that he needed Jaime to protect the castle while he was gone. After trusting Jamie with this task his last words to Jaime were that when he returned he would make changes to the Kingdom - strongly implying that he would remove his mad father from the thrown.
Looking at all of this, it seems to me that if Jaime were to meet Dany for the first time after all these years he would probably just fall apart with emotion. To go for so many years pushing away the memories of how he was unable to keep his promise to Reagor to protect his family..and how he himself was involved in the slaying of his father- and then suddenly to have Dany before him, how could he even take it? To avoid all those memories and emotions only to have them thrown back you... having a replica of Reagor's eyes suddenly staring back at him in the form of his little sister.
I think he would fall into a pile of blubbering mess at the first sight of her. The guilt would just be too much. I'm not sure he would be able to face her. Am I right?