randomrando

It is never time to panic. As stressful as graduate school will be, the worst case scenario is that you go on with your life. You don't have a gun pointed at your head as someone wants to take something that you're not going to let him have. You're not living though a natural catastrophe. You're not going through a once in a century global economic meltdown.
As a rule of thumb, I recommend that when listening to the grousing of graduate students that one ask bluntly, "Have you spoken to Professor Xavier about your concerns?" More often than not, the answer is "no." 
I also recommend that one considers where a graduate student is in a program. The cares and conceits of a graduate student who is pre-quals can be vastly different than those of a student who has been around longer.
The age and life experiences of a graduate student can also be important. A "non traditional" graduate student may have perspectives that are vastly different than a traditional graduate student who is heavily invested in a program. As an example, when it was my turn to hand off information about writing qualifying exams for a particularly difficult professor (read: POS/#NOTBITTER), the recipient of that information, a retired USAF pilot with combat experience, laughed as I ranted. (Later, this gravel-voiced warrior shrugged as talked about having terminal cancer.)

The short answer is no. Unfortunately, competition always exists, and negative things do happen with competition. Let's forget about the issues between professors. From what I see, you are concerned that your advisor is like her other students describe. I would suggest that you wait until you get to meet her to know more about her. Based on that, you will have better ideas to communicate with her more effectively. 
I am giving my own example of my PhD advisors, *Cecilia and *Andy. Many students describe *Cecilia as demanding, uncaring, and someone difficult to work with. I do agree in part that she is a harsh advisor, but she is actually very dedicated to help students succeed. She is the one advisor who bothers to read and re-read students' drafts, and she always gets back to students in a timely manner. On the other hand, almost everyone describes *Andy as a "nice gentleman". However, when I brought up to him that I wanted to finish my dissertation before working on more experiments, he stopped reading my drafts. He yelled at me whenever I asked for feedback. He even refused to sign off my PhD until my other advisors stepped in. However, he asked his other student to finish her dissertation before working on more experiments to publish her paper. So, you will never know. 
Be confident in your choice that she is the advisor whose interest/expertise fits with yours. This is very important for any grad program. 
All the best!

No, it is not the time to panic. You are worried over what people are saying and not what you have experienced. You need to find out the lay of the land yourself.