fearless: Using logic with her is a no-win solution. She will likely see any use of logic, pleading, cajoling, whispering, or sighing as a personal attack, as pressure, as manipulation.
And yes, she asks sometimes quite frequently if "a sigh is just a sigh" or if it is my way of displaying my anger toward her. Or displaying whatever.... While there was actually a time or two or three that I actually did sigh to express exasperation with a situation, I tend to sigh now as an exercise in tension relief. I learned it from an article and it really seems to work for me. So, when she asks that question, I'm often surprised by it. "No" I answer, and quite honestly so.