The Scarlet Letter 3

I am on chapter 5 of The Scarlet Letter, it's totally rad and fantabulous (btw I'm dictating this to Kathryn, so she's adding in her own commentary).
This passage particularly caught my blue little eye: "'I have thought of death,' said she, - 'have wished for it, - would even have prayed for it, were it fit that such as I should pray for anything. Yet, if death be in this cup I bid the think again, ere thou beholdest me quaff it. See! It is even now at my lips.'"
This happens when Hester is taken back to the prison. She and her baby, particularly her baby, are sick and the jailer calls in a physician. Although the man is civil to her, he still questions her about the who da baby daddy be. Anyways, Hester shows in this passage how she feels about her adultery. She says she's wanted death and she implies that she is unfit to pray for it. As close as Hester seems to her baby, she seems to regret having it because of how she's being treated for her crime.
One thing that confuses me (like everything else) is why Hester is so adament in keeping the baby daddy's name secret. I understand that releasing the name would probably ruin his reputation (if not life), but he took part in the bom chicka wowwow, so Hester should not be the only one to pay the price. I think the guy should come forward, and I'm also confused about the wierd guy (referenced in my last blog), he could be the baby daddy, who knows.