How do you reconcile love of a child you had out of wedlock with your faith?

This question is for Christians, however it could just as well apply to Jews and Muslims. If repentance means sorrow for an action and regret that you did it, how do you repent for having sex outside of marriage if that led to the birth of your child, assuming you love thee? Isn't it impossible to choose both repentence and your child, for if you say you regret your sin, you are saying you regret the birth of your child (you could have had a child after marriage, but that would be a different one as a different sperm would fertilize a different egg at a different time etc) and if you say you don't regret the sin that led to the birth of your child, than you are refusing to repent for your sin. What do the Abrahamic faiths have to offer children born out of wedlock if the child must acknowledge the action that led to his existence should never have happened, and thus he should never have been born if he is to be an adherent?