1)
How many proofs did she give?
1.
Malbim: There were three. (a) Acceptance of our Korbanos shows acceptance and love, and not anger and punishment. (b) He showed us wonders. (c) We were informed that I will give birth to a son.
2)
What is the meaning of "Lo Hishmi'anu ka'Zos"?
1.
Rashi: He would not have given us this good tiding (that I will give birth to a son) if we are worthy to die.