He could initially go into denial. Naruto has always been an optimist. He might not be able to believe that his wife, the person he loves, could betray him. But once the truth sinks in, he would start to analyze the situation carefully. He might try to find a way to redeem her, depending on the nature of the betrayal, as he always believes in the power of forgiveness and second chances.
He would be heartbroken. Naruto values friendship above almost everything. At first, he might not believe it and try to reason with his friends.
Naruto would be extremely hurt. He values his friends above almost everything, so their betrayal would be like a knife to the heart. At first, he'd probably be in disbelief and try to reason with them. When he realizes they won't listen, he might become angry and lash out. But deep down, he'd still hope to win them back.
He would probably be very confused at first. Naruto has always trusted Tsunade, so the betrayal would come as a huge shock.
Ash would probably be initially shocked. He has always trusted his friends, so the idea of betrayal would be hard to swallow. He might try to talk to them, to find out why they are doing this.
Sakura would be heartbroken. She's always seen Naruto as a dear friend. But she also has a strong sense of justice. So she would be conflicted, wanting to believe Naruto is innocent but also being influenced by the evidence against him.
Sakura would be furious. She's always been protective of Naruto in the original Naruto series. In the RWBY fanfiction, she would probably start her own investigation to find out who was behind the betrayal. She might even challenge the RWBY characters if she thought they were involved. Kakashi, on the other hand, would be more calm and collected. He would try to analyze the situation rationally and figure out the best way to help Naruto.
Naruto would probably be extremely hurt at first. He values friendship and loyalty a great deal, so Anko's betrayal would be a huge blow. But he wouldn't give up. He'd likely try to talk to Anko to find out why she did it, hoping to change her mind.
He could also feel angry. After all, he has fought for his friends and the village. To be betrayed by someone like Sirzechs would make him want to prove his innocence. He might start training even harder to show that he is not the bad guy Sirzechs is making him out to be. And he would likely try to find evidence to clear his name.
Naruto would be extremely hurt. He's a very emotional person who values friendship deeply. He'd probably first try to understand why Yugao did it. He might be in denial at first, thinking it's some kind of misunderstanding.
Naruto would be determined to get to the bottom of it. He would not just accept the betrayal at face value. He would use his skills and the help of his friends to investigate what made Jiraiya turn against him. Naruto's ninja way is about never giving up, and this situation would be no different. He would fight against this betrayal, both physically if Jiraiya became an enemy in combat, and emotionally, trying to understand the reasons behind it all while still holding on to the hope that Jiraiya could be redeemed.