“Race” is not synonymous with color. It can mean roughly-something related to shared background, but it’s not very precise.
Sounds like she just got caught up in differing definitions for the word, and perhaps total (and if she considers herself Jewish in any way, pretty awful) ignorance of the use of the pre-existing phrase “Jewish race”. A few generations ago, in the USA, Jews were not considered “white”, and neither were Italians or Irish.
EDIT: I seem to have crossed a line I can’t see. Anyone hazard a guess why this was downvoted?