No one would know about your sterilization, unless you wrote a blog post complaining how the 'religious right' thinks you're no longer a woman. No one thinks you're not a woman. No one thinks Sandra Fluke is not a woman. I do hear the argument that pro-lifers are not really women though. We disagree, and there is a good argument in not rendering your reproductive organs non-functional as a woman.
To the Religious Right, I am No Longer a Woman