The one I find annoying is the one that gives you two options and one is to discard a Quirk card. All my Quirk spaces were filled with cards that didn't really affect me. Then, of course, I draw the Tormentor who can be quite a pain especially as I 'm playing solo with the Specialist who isn't the best fighter despite tweaking his deck here and there.
You have to take it unless the loot says *may*