Sakura could initially be shocked and then try to change herself. She might think that if she becomes more like what Sasuke wants, he won't find her annoying anymore. So she could start to be more reserved and less pushy in her interactions with him.
Sakura may also get angry. Despite her love for Sasuke, she has her own pride. Being called annoying could make her lash out at him, telling him that he's being unfair and that he doesn't really understand her intentions. She could then decide to distance herself from Sasuke for a while to prove that she doesn't need his approval and that she's strong on her own.
He could also get angry. After all, being misjudged like that is unfair. His anger could lead him to either lash out verbally at Sakura or he could leave the village in a fit of rage, feeling that he is not accepted even by his friends. This could then lead to a series of events where Naruto has to find his own way and Sakura realizes her mistake later on.
She might be really hurt and start to question her self - worth. Maybe she becomes more withdrawn and less confident in herself.
In some fanfictions, Sakura may be determined to find Sasuke and bring him back. She could set out on her own journey, facing various challenges along the way, and growing both as a person and as a ninja in the process of trying to reunite with him.
Sakura could also try to stand up for herself. If she believes that Sasuke is being unfair in his anger, she may argue back. For instance, if Sasuke is angry because of a misunderstanding, Sakura might try to clarify the situation and prove her point.
She may initially be angry. Sakura is a proud and strong character. She could confront Sasuke and Ino, demanding an explanation. After that, she might decide to become even stronger, both in her ninja skills and her emotional resilience, to show Sasuke what he's missing.
In some fanfictions, Sakura's reaction could be more complex. She might be hurt not just physically but also emotionally. This could lead her to question her relationship with Sasuke and might cause her to make some big decisions, like whether to continue trying to reach out to him or to cut him off completely.
Sakura might be heartbroken. She's been in love with Sasuke for so long. She could initially go into denial, thinking it's just a temporary thing. Then she might get angry and vow to prove herself to Sasuke, perhaps by becoming an even stronger ninja.
She could be heartbroken. Sakura has always loved Sasuke deeply, so his leaving for Naruto would be a huge blow to her. She might initially be in denial, not believing that Sasuke would choose Naruto over her.
At first, Sakura might be terrified. After all, being kidnapped is a scary situation. But then, depending on her character development in the fanfiction, she could start to try and reason with Sasuke. She might ask him why he's doing this and try to get him to see the error of his ways.
Another reaction could be that Sakura becomes more determined. His yelling could fuel her desire to prove herself to Sasuke, whether it's in terms of her strength, her loyalty, or her understanding of him. So instead of being deterred, she uses it as motivation to grow and change in the eyes of Sasuke.