Daemon bastard son

I'm planning a fic where Daemon actually had a son with Mysaria, but I'm still at the brainstorming stage and I need help thinking what repercussions would this have in the dance of the dragons ?

Daemon still marries Rhaenyra but now he has bastard son which he is quite fond of it, would Rhaenyra hate his son ? Would this cause issues within the blacks ?