What does skipping a draw phase mean for an opponent in Gloom?
According to this answer on BoardGameGeek from one of the game's designers:


  Correct: most likely you will start your next turn with no cards and
  be unable to do anything, effectively missing a turn.
  
  In first edition, the effect was simply "Skip your next turn." By the
  current rules, you can still end up being able to play if some other
  card effect ends up giving you cards - for example, someone cheers up
  your shunned character. Also, if you are playing with Stories (from
  Unquiet Dead), you could use an action on your turn to claim a story.
  
  A key point here is that you skip your draw phase "THIS" turn - the
  turn on which the card is played. If you use the card on yourself, you
  don't get to draw back up at the end of the turn. If someone else
  plays it on you on THEIR turn, you wouldn't draw back up anyway, so
  this effect does nothing. You don't skip your NEXT draw phase.