How Obligated Would You Be to Preserve the Time Line?

Time travel question: How obligated would you be to insuring that time line remain intact? Since any slight alteration could result in your son not being born, not obligated at all. There's no obligation on us to day to use our free will in such a way that we're obliged morally to insure a particular future comes to pass. Instead, what we're obliged to do is use ourFree Will In Such A Way That We Behave Morally. Ah, poor saint christopher. Shame on you. Go see your confessor.