Is there such a thing? Blue-ish, maybe, but I don't have a photo of a blue mushroom, except this one:
It's real; I made it myself. It is an, um, mutation of the one in the second photo in this post.
This one is slightly blue-ish, but not blue enough for the challenge:
Olympus Stylus 1s, 42mm, ISO100, f8, 4s
I think I do have some photos of purple mushrooms though, but that is for a later day.