Note 1 at Lk. 9:53: As stated in note 2 at John 4:4, page 54, devout Jews would not even associate with or talk to a Samaritan, mostly because of religious differences, and Samaritans felt equally hostile to Jews--especially those on their way to take part in religious festivals in Jerusalem.

A pilgrim or traveler from Galilee faced at least a three-day journey to Jerusalem, and Samaritans generally refused overnight shelter to Jews. Because of this attitude, Jews from Galilee frequently traveled to Jerusalem on the east side of the Jordan River which wasn't a part of Samaria (Mt. 19:1; Mk. 10:1; Jn. 10:40).

When the Samaritans learned that Jesus' intentions were to go to Jerusalem to a religious festival, they wanted no part of giving even a tacit approval to something they abhorred.