Sorry to hear that k8tilton
, that's a bummer after collecting all the goodies needed for sure. It looks like these may refresh on Mondays regardless of when you start, so if you start later in the week you don't get the full week. They seem to be repeatable though, if the readings I've found online about these is correct. The wiki article is unclear on this info probably because it is still an unfinished stub. Regardless, I hope this helps, sorry it isn't better news though.
I had no idea either until you mentioned it and it got me curious, so I did some digging, I'm glad you mentioned it!
I found the info here (it has spoilers about other quests):
https://www.thegamer.com/stardew-valley-qi-challenge-rewards/