A lot of know-how has been lost since then which can explain why it would cost so much today to do it again. And there is no longer any motivation to beat Russia and be the first there.
Anyways, if the moon landing were fake, the first ones to say that would have been the Russians back then.
If I remember well from blood donation, the window period is around one month anyways and can vary, so she could get infected on the 1st, get tested on the 30th, still be flagged as negative and infect dudes for a whole month more!