So Kara really is Supergirl, Clark's cousin, and not just an 'almost' version from the LnC universe.

Wow.

Love that you've done this, and also love that you made her Lois and Clark's daughter.

Does this mean she will have stronger powers than her two siblings as she is a full Kryptonian and they are half human?

KatherineKent/Victoria
Lois: "You put up with me for the same reason I put up with you. It's because I'm completely in love with you."
Clark: "And I love you ... Did we just make up?"
Lois: "I think so."