Seeing all the color leave my wife’s face when she was diagnosed with triple-negative breast cancer in 2011 is a hard memory to think about. Aly was only 24 at the time. I was 27. And we had just decided to start trying to have children. We had no clue what to expect after a breast cancer diagnosis, but our minds automatically leapt to the worst-case scenario.

Once we learned what Aly actually had (stage II invasive ductal carcinoma...