Cool! I'm excited about the Shayne Terry's Veritas influence as well... Perhaps Tempus dumped Lois and Clark's daughter into another real-world dimension?
Next (rhetorical -- I don't expect answers yet) questions -- Supergirl is Kal-El's cousin from cannon, correct? Is Kara named after her or is she essentially 'Supergirl'? Meaning, does she have powers? Was she affected by kryptonite, and that is how whomever kidnapped her got her? And, now that the hospital has her blood, will anyone notice anything weird?
Definitely intrigued! Can't wait for the next part!