The Psychic Scream issue is well known and affects all (?) cards which shuffle cards in opponent’s deck. See:
I have never heard of an issue with Shadow Word: Death, though. @MissTulip, could you tell us what platform you play on (if mobile, model and OS version could help), and do you have any more information about the board state? Which minion was killed by SW:D, what other minions were in play, etc.
If you encounter again an issue which prevents you from playing, you can force-quit Hearthstone (Alt+F4 in Windows) and restart it right away to return to the game in progress. This should clear the invisible cards from effects like Psychic Scream (though future draws might still have the same problem), and hopefully whatever blocked play after SW:D.