I do not want my baby to grow up thinking that his/her father doesn't care (even though its true).
Here is some advice about your above statement. I will accept it as fact that you will raise your daughter in her father's absence.
When you are asked about his whereabouts by your child, tell her that he was not ready to be a father/companion/friend/spouse and that he left. Do not include anything judgmental about him. If she asks how it made you feel, then talk about your anger, disappointment, hurt, etc.
And Bronson's correct.
May GOD bless you now and in motherhood
Jay