Maybe the "conversion" was more human, closer to the real journey of creation and of individual evolution. Jesus gave her reason to listen; he broke through her fixation on her "individual", her Samaritan divisive truth to listen. Jesus the emancipated Jew was "different" from the usual. He seems to have opened a wedge in the Samaritan defensiveness expressed in usual reciprocal disdain.
Jesus was not the typical Jew who disdained Samaritans. The woman was, maybe shaken a bit; surprised and curious? The revelation of "husbandry" whether literal and/or allegorical, referencing the successive conquerors, elicited the nascent good will: commonality of spirit and truth the underlying commonality we can find. Commonality of spirit and truth, the higher level of adherence to good will and civility that allows difference to be secondary to what we share.