Heart disease and the common cold: what to watch out for?

Can a common cold actually pose a serious risk to someone with heart disease—specifically a heart attack survivor who is managing their condition with medication and regular treatments to keep their arteries clear? I know the heart isn't as strong as it used to be, but can a cold, particularly the strain from coughing, put extra stress on the heart and lead to further complications?
The same question applies to those dealing with thyroid issues and high blood pressure: does a persistent cough carry the same level of risk for them?

Yeah, I’d actually be pretty interested in hearing more about this too.