I don't want her to give up her career. But all the major public humiliation rituals were always on Kyo. And Yamada never tried to stop him from shouldering that burden. They all happened. Kyo has made the "big moves" so far. Hence Yamada has to step up.
Well, I didn't like it either, but there is one key detail that people tend to overlook when discussing this topic: he is not doing this because Anna wants him to, but because he insisted on these measures himself. He actually asked her to do it, and she agreed because she is trying to be an adult. Yamada herself has a deep inferiority complex; she constantly needed help and gave up on things she was doing because she felt incapable of doing them. And that's why she tries so hard to be an adult. And because of her view of what it means to be grown-up, she thinks she needs to agree to things regardless of her will. In chapter 99, she agreed to keep their distance from each other in public because she wants to be a responsible adult (which is very funny from Kyotaro's point of view, since they weren't in a relationship at the time and he even noticed it himself, lol). When she was forced to reject a public confession because of this stupid flash mob, she wanted to say okay, but she hesitated because of her situation, because she wanted to do the right thing as an adult, but she couldn't reject it until Kyotaro let her know with gestures that everything would be fine. From that moment on, the impact of the restrictions began to grow, and there are many instances where Yamada is shown to be upset about the distance between them. If she hadn't made sacrifices, she would have been satisfied, but no. Because these aren't just sacrifices that Kyotaro makes for her career, these are sacrifices that Kyotaro asks Anna to make. And obviously, he's going too far in this regard, which is even less justifiable because Yamada isn't happy with it and it's starting to get to the point where she's ready to stand up to him, because:
And once again regarding her career while I don't want her to give up her career... I don't wanna see a 14 15 year old acting in a smutty manga adaptation. But hey... that's Japan for ya
What I described above is closely related to how she will resist the decisions imposed on her by her agency. We already see this flaw in Yamada when she feels uncomfortable filming romantic scenes but keeps it to herself because, as I said, she believes that to be an adult, she must agree to do whatever she is asked to do. She did this by agreeing to Kyotaro's request, and she does it here. The fact that she couldn't take it anymore and seems to be about to tell him how she feels is a step forward. Sooner or later, she will have to confront the agency, especially if they find out about her relationship. And Kyotaro, who would rather disappear from her life himself so as not to be an obstacle, which she definitely won't like or approve of.
So I find it strange that the same people here criticize Yamada for Kyotaro making decisions for her, regardless of whether she will be happy with them or not, and then criticize her for finally being ready to express her dissatisfaction. Her only mistake was that she kept quiet for too long and kept it to herself. And if she just takes it back and doesn't learn to say “no” and continues to endure, then we know that she can't act in those scenes, the agency will impose restrictions on her personal life, and Kyotaro can't stand up to that, only make sure that Yamada doesn't have any problems with the agency so that she can continue to pursue her dreams. She simply won't have any relationships at all, because the agency may forbid her relationships. Kyotaro will sacrifice himself if he feels that his presence threatens her future and she will simply remain unhappy, unable to go against it.
I personally think that her character will eventually reach a point where she will have to make her own decision for the sake of what she wants, despite what everyone else tries to tell her, because no one but Anna herself is capable of doing it for her.