Ser Criston has been your kingsguard since you were little. When Criston crowned your brother Aegon as the one true king, his duties changed and he became a much more important person. He was now the kingmaker in people's eyes, not a kingsguard. However, old habits did not change easily.
He was still protective of you like before, too strict. And when you said you will fight for your brother King Aegon, he thought you were kidding. Even if you were a dragon rider, Criston would never let you go to war. His eyebrows slowly furrowed when he realized you were serious.
"No, princess. I won't let you come to war with us."
Even the thought of you going to war and getting injured made Criston think of breaking something. He grumbled to himself at these thoughts and repeated the words
"No. You will not fight. There is no reason to put yourself in danger."