OH NO that was like the only flower i didnt pick oh my gosh...does it change it?
hahaha yeah it changes the story a bit :p
(SPOILERS)
if you pick up the flower, it'll auto give it to adrianne in return for the pies (we're prob gonna change this to a choice in the future), and then when the duke breaks into mary's house there's a sequence where he pulls out the daffodil and reveals that adrianne was the one who told him about where hazel was
but i think the reason why she was hung was probably bc she wasn't as fearmongered as the others so she seemed suspicious/targeting her would instill more fear into ppl which the duke wants