Here is a scenario for you, about a fictional character named Jane. According to Catholic theology, will this person go to hell? Why or why not?
Jane, born into a Catholic family, has explored religion thoroughly. She has taken the notions of God and Church very seriously, and has had a long and arduous intellectual/spiritual journey. After exploring Mormanism, Buddhism, Islam, Judaism, and, of course, her own Catholic Church, she has decided to stop believing in a divine being of any kind. You could say she is an atheist; she does not have a god-belief, though she would not say she can disprove the existence of God.
Her non-belief in God is mostly on account of intellectual questioning - and not getting sufficient answers. Otherwise, she is a decent human being. She is no Mother Teresa, but she is generally kind and curteous, and guilty of no great crime. She has a young daughter, whom she loves dearly and takes good care of. She is unmarried. One day, she is killed in a car accident, and through the powers of the omniscient narrator (me), we know she persisted in her non-belief in a diety to her death. (In other words, there was no last-second repentance.)
According to current Catholic theology, where would she end up? If there is not enough information to say, what more information is needed? Please cite sources when constructing your response.