If they introduced Edric Storm to the show there would still be hope for House Baratheon. But now it looks like it's just Gendry. Gendry maybe strong but he's te worst canidate for the headship of the Baratheon's. He's illiterate, doesn't know how to fight, he doesn't understand the politics of Westeros and he just complaines all the damn time in Arya's chapters.

With Shireen it's different. True she's not strong physically and wouldn't be capable of leading men into battle like her father, but she does have alot of good qualities. She is knowledge and knows her history. She would never have repeated the same mistakes in history. She's kind and sweet and loved. You never hear her complain once in either the show or the books. She may have, in time, understood the politics of westeros.

When it comes to Mel I just don't understand her ultimate goal. What was the point of siding with Stannis if she was just there to stop the others? Dragonstone is pretty far from the Wall Melly.