WHAT THIS MEANS FOR GAME OF THRONES SEASON 8
If Tyrion and Dany are headed for a major conflict in Game of Thrones season 8, there are several different ways that could play out. If Jaime winds up at Winterfell and it becomes clear he’s not safe, Tyrion could return the favor his brother paid him back in season 5 and protect the Kingslayer at the expense of his relationship with Dany. If Dany’s relationship with Jon progresses to the point where she’s listening to the King in the North more than she’s listening to Tyrion, he might feel forced to push his own agenda if he truly believes she’s making catastrophic decisions. Though, considering Dany has yet to let a relationship egregiously affect her ability to rule (see: Daario), it seems unlikely that her relationship with Jon Snow on its own is a problem. The real potential for problems arises if and when the two lovers hit a major conflict that could affect their very important alliance (see: R+L=J).
If Tyrion’s the first person to find out about Jon’s parentage, it doesn’t seem entirely unlikely that he would keep it from his queen. There’s no way Jon being the true heir to the Iron Throne doesn’t throw a massive wrench both in their relationship and the Northern/Targaryen united front. While it seems a little odd that Tyrion would be privy to this information before Dany, it seems more than likely he would consider keeping it under wraps until the dust settled. It could even be that he induces Jon to lie to Dany about citing the latter’s inability to lie in front of Cersei and problems that presented at their summit during "The Dragon and the Wolf". If and when Dany finds out, she’ll either thank them for that or she’ll feed them to her dragons. Time will tell. Either way, the divide between Tyrion and Dany is going to get worse before it gets better, and it has the potential to shape the entirety of Game of Thrones season 8.