If I play the Deed and my opponent responds by activating SDT and putting a spell with cmc 3 on top, then activates Counterbalance; can I Stifle the Counterbalance activation so my Deed will resolve?
First off, Counterbalance is never activated. The ability is triggered. And the ability triggers when you play the spell, the opponent doesn't choose to have it trigger, it triggers automatically. Revealing the top card happens as part of the resolution of the trigger, so you cannot wait to see if he's going to reveal a card, or what card he's going to reveal, before deciding whether you wish to counter the trigger or not.
And what happens if my opponent taps the SDT in response and puts it on top to use the Counterbalance effect to counter the Stifle? Will the card with cmc 3 still be flipped and thus counter my Deed?
Thanks, Mantis.
If the Top is put on top of library before the 'Counter Deed' trigger resolves, then unless he has some other library manipulation effects available, it would be the Top he reveals (if he chooses to reveal at all) which would not counter the Deed since the CMC is different.