Kinda expect it to be the former, though I think the latter is more fun.
I couldn't figure it out so I'm asking youz 
Drawn adventure card is an item that requires only good characters. I'm evil. Does it go into discard pile, or do I ditch it onto my square?
The Object would be ditched in your space.
Main rules - Page 16 - Having and Using.
Edited by talismanislandCool, thanks 