A triggered ability begins with the word "when," "whenever," or "at." The phrase containing one of these words is the trigger condition, which defines the trigger event.
If the card has no delay counters on it, he or she puts it onto the stack as a copy of the original spell.
As you can see, the effect of ertai's meddling isn't a triggered ability, nor is it an activated ability, so stifle will be of no use to save your monkey.