There are two things in your post about the behavior of the employee. One is her rude behavior, and the other is being "abrupt." What do you mean by "abrupt"? Does this abruptness impact the work of her department? Is she absent from her work? Please note that behavior and indiscipline are two separate issues and should not be lumped together. A very well-disciplined person might not have good behavior, and conversely, an undisciplined person might have good behavior.
Employee Designation and Feedback
What is the designation of this employee? When did she join your company? What about her seniors? Did they give feedback to her? While they may not be expert counselors, "counseling" is one of the important supporting skills of managers.
Many employees' personal lives are in turmoil, but professionalism demands not allowing personal life to affect professional life.
Your Role and HR Involvement
What about you? What is your designation, and are you from the HR department? If yes, then did anyone from HR try counseling her? If not, then sit with her and discuss the issues arising from her behavior. If she has been groomed to be rude by her parents, then you cannot change her behavior, yet you can recommend developing interpersonal skills, questioning skills, listening skills, and skills to manage anger. In your counseling session, even if you make her acknowledge her shortcomings, that in itself will be an achievement.
Recruitment and Workplace Etiquette
Partially, it is a recruitment problem as well. Why did the interviewer not identify this major anomaly in her behavior? Partially, it could be a problem of not educating employees on workplace etiquette. Create an induction manual and include 1-2 chapters on business etiquette or workplace etiquette. Maintaining a healthy workplace environment is everyone's responsibility, and no employee, regardless of their designation, has the right to disrupt it.
You may refer the case to a professional counselor; however, it is important to specify what has been done at the company level. Who has read material on counseling skills and tried to implement them?
Anyway, in this forum, there are many consultants whose hallmark is their reticence. They may become active after reading your post and assure a magical transformation in her behavior! Please remember that no magic lasts forever! Therefore, try to handle this issue in-house.
Thanks,
Dinesh Divekar