Dany has the same problem, though. Unless we think that her "womb shall re-open"?
I don't think so. There are specualtions that she's not as barren as she thought. But that aside, she has a lot of more problems. Though she is a good girl, she is a completely incompetent ruler and she is mad too.
On a little off-topic matter: imagine Dany is queen, and she marries a lord, but no children come out of this marriage. So, will a relative of the king become the heir considering the fact that Dany's too obsessed about blood stuff and Valyria, and considering her madness? (I hope it would never come to that, I don't want Dany there, Westeros has enough problems already).
BTW, I like the idea of Dolorous Edd becoming king very much.