Is this homework?
Interested in Language
Her greatest concern in life is to earn the name for honesty.
Which is the error part and how?
Let's be clear.
1. You must give your threads better titles. Quote part of the line you are asking about.
2. Do NOT simply ask us for answers. Suggest your answers first.
3. If it's homework, don't even bother posting. We don't do homework.
Future threads like this and the others you have posted will be deleted if you can't follow these simple rules.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.