Would this be the right thing to do under these circumstances?

In the interests of full disclosure,let me say that the situation Im about to describe has NOT happened to me or anyone I know.Its simply a hypothetical designed to make you think.If a single guy-his age doesnt matter;lets say hes in his mid-30s-meets a woman hes really into.But he then learns shes a single parent with a child.While he really likes the woman,he does not have any great love for kids in general and doesnt want to get involved with her kid in any way.Under these circumstances,would the best thing for the guy to do is break up with the woman and end all conflict?Why or why not?