Re: Worried and overdue...
With a heart condition your doctor is wise not to induce you unless you ABSOLUTELY need it! Inducement causes a harder labor because your body is not able to prepare on it's own. In fact, inducement for women with heart conditions is not recommended (myself included). It's either au'natural or c-section. Inducement has also been associated with emergency c-sections because it puts your body and your baby in stress because things don't progress naturally - the baby AND your body are forced. This is when you see baby's that have not engaged and then go into stress. It really bugs me when I see women and doctors opt for inducement on or shortly after their due date. It's not something I would want unless absolutely medically necessary, and a week (or a few days) over due, in my opinion, is not a necessity.
The only thing you need to worry about going late is that the baby can pass meconium and swallow it, which can result in an upper respiratory infection. This, though, is not usually a concern until you are 2 weeks or later.
I would not worry. And I agree, who ever told you that still births are a result of going over due is insane.