Q is the consequent of this hypothetical proposition.
Here, "X is an animal" is the consequent.
"They are alive" is the consequent.
The consequent in a hypothetical proposition is not necessarily a consequence of the antecedent.
"Fish speak Klingon" is the consequent here, but clearly is not a consequence of (nor has anything to do with) the claim made in the antecedent that "monkeys are purple".