No. For gods sakes, it's just coughing. If you went in to the Drs with fits like she has been having, they would tell you overall that it's 99.9% likely nothing to worry about. Hell, let's even say she has or got a cold or some issue minor, insignificant issue. Big freakin' deal. Are we forgetting that she is human? Since when do humans not get allergies, colds or other minor issues?
It's hard to overstate just how insanely ridiculous this little narrative is. I don't even know how to debate this to be honest - If people are stupid enough to be "concerned" about this, then how do you explain that's it is completely fine/non-serious crap? What people should be concerned about is how petty others are being by trying to make something of this.
This.