If you'd like to read a bit more on what to expect from a Chinese learner of English, here are two short articles. I'm sure there are more around the internet as well.
Language differences: English - Chinese
Teaching English to Chinese Students
Regarding cultural issues, I'd encourage you to try to build a bit of a relationship with her, be positive, use praise, and be aware of the idea of saving and losing face. (You don't want to have her feel ashamed, particularly in front of other people. She may also be harder on herself and more uncomfortable with the idea of making mistakes in front of you, the teacher, particularly if you're not yet comfortable with each other.) And don't write or cross out her name with red ink. :)