Completely debunks the idea? I'm pretty sure she said it's unlikely, not that it's impossible. I would consult your wife's gynecologist before deciding that the pill absolutely does not allow implantation to occur while taking the pill and, therefore, removes the risk of having that implantation aborted by the pill. I personally don't know for sure if that's true, or not, but I do think Christian couples should do the homework about it.
Most of all, I believe Christian couples should 1) understand that sex is about having babies, accept it. And because that's true, 2) learn self-control in accordance with what you both agree about in regard to having children.