Don't be silly Grisu. If your kid has respiratory problems, which I suspect was the reason for the Doc visit, and you burn wood you need to give it some thought. I don't care how many kids are killed by falling asteroids in this context.
You can have the cleanest burning stove on the planet and burn nothing but natural cord wood and still put pollution in your house. Impossible not to. This site isn't the wood version of the NRA.
When you do a search you will find plenty of posts from me that point to the dangers of woodburning and my support of the new EPA limits. As I did also in my post above. Nevertheless, I also know how "fashions" in research work and how such studies have to be interpreted. Just because woodburning has been linked to asthma etc. you still need to take a look at the studies to understand the issue here. The study I linked to shows that EPA-stoves are much less harmful to human health than the old smokedragons. Thus, the OP IS doing the right thing. When looking at the literature you will find quite a few studies linking woodburning to respiratory problems. However, I have not seen one that links properly used EPA-stoves to respiratory problems. Instead, we are talking about open cooking fires in 3rd world countries, improper fuel, "smokedragons" etc.
The particles the researchers are concerned about are especially the ones below 2.5 mikrometer (PM 2.5) as they are so tiny that they can go deep into the lungs and cause an inflammatory reaction there. That reaction can lead to asthma in the long run. To get those particles into the house you would need smoke escaping to the inside (e. g. while reloading) or the house pulling in the smoke again from the outside. When you have a well installed stove with good draft the level of PM 2.5 in the house is not a cause of concern (see the study). The fly ash you can find on the furniture is pretty large by comparison and much less of an issue.
Since I am not from the woodburning NRA I don't paint a black-or-white picture. Emissions from wood fires can be harmful, no doubt. Thus, burn dry wood in a low-emission stove that was properly installed. Then there are plenty of other dangers to your child's health you could worry about.