Maybe the first woman on the moon already has children or doesn't want children in the first place. Or maybe the risk is worth it to her to have the opportunity to make history? Or she just stores eggs and goes the route of in-vitro.
I’m sure there are a million other risks for going to the moon, seems a little reductive to say women shouldn’t go because it affects their eggs. They are more likely to die on their trip than if they didn’t go, yet we still send men.
Just like every other issue, we’ll solve them. But we don’t just give up.