She wasn't really worried about rewriting the script as it would be impossible for Director Liu to do that due to funding problems, but it would still affect her reputation if the director deemed it was the scriptwriter's problem.
And if her reputation was affected, it would be hard for her to work with big-scale production in the future, and her wages would drop drastically.
Even if the siblings did not bring the problem up to Director Liu, they might still talk about it online and other people would eventually learn about it, which would affect her reputation as well.
That was why she had to step in and talk it out with them.
What she was angry about the most was the fact that Tan Mo, a 15-year-old girl, was talking bad things about the script that she wrote.