It's not "really" your problem or at least you can made somebody else pay for the mistake if your users arent really health care professionals. With your app and your actual ranking you could cold call a few medical magazines and offer to them to be feature in the app for a couple thousand bucks. Advertising in medical publication is VERY VERY VERY expensive, I'm sure some big co or medias have moneys to spare on ads in your app.
If you are not confortable with that maybe you could contact them offer them that to have an idea of what they are ready to pay to be in your app. Maybe the amount will change your mind :)
I dont mean to be disrespectful with my comment but I made that mistake to wait to long before monetising my startup because I always wanted more and more data before selling ads on it. I lost a lot of time (and money) for nothing.