Strong's Greek/Hebrew Dictionary offers some clarification on the usage of the word "Jew" in scripture. The word can refer to "a country" or place such as Judea. You can be referred to as a "Judean" but not be a "Jew" in the sense of your bloodline.

Greek Strong's Number: 2453 Greek Word: Ἰουδαῖος Transliteration: Ioudaios Phonetic Pronunciation:ee-oo-dah'-yos Root: from <G2448> (in the sense of <G2455> as a country)

from <G2448> (IoGreek Strong's Number: 2453 Greek Word: Ἰουδαῖος Transliteration: Ioudaios Phonetic Pronunciation:ee-oo-dah'-yos Root: from <G2448> (in the sense of <G2455> as a country)

from <G2448> (Iouda) (in the sense of <G2455> (Ioudas) as a country); Jud'an, i.e. belonging to Jehudah :- Jew (-ess), of Jud'a.

Strong's Talking Greek & Hebrew Dictionary.uda) (in the sense of <G2455> (Ioudas) as a country); Jud'an, i.e. belonging to Jehudah :- Jew (-ess), of Jud'a.