Ethos refers to an appeal to credibility. This means that a person talks about his abilities, experience, accomplishments, etc. in order to persuade an audience of a particular position. Ethos is one of the most common rhetorical devices, along with pathos and logos. In this case, the nurse is mentioning the fact that she has been a nurse for over twenty years in order to persuade people of her knowledge and the validity of her opinion.
The author is trying to gain sorrow for the people in need of help so more will be able to help out. With this information I suggest the authors writing style would be persuasive.