The question is quite simple, Antagonize says:
The creature flies into a rage. On its next turn, the target must attempt to make a melee attack against you, make a ranged attack against you, target you with a spell, or include you in the area of a spell. The effect ends if the creature is prevented from attacking you or attempting to do so would harm it (for example, if you are on the other side of a chasm or a wall of fire). If it cannot attack you on its turn, you may make the check again as an immediate action to extend the effect for 1 round (but cannot extend it thereafter). The effect ends as soon as the creature attacks you. Once you have targeted a creature with this ability, you cannot target it again for 1 day.
In particular see the bold section.
What I'm unsure about is situations like Attacks of Opportunity, they are not guaranteed to harm it - but there is a risk they will. Can Antagonize make a target run through friendly threatened areas and risk taking the AoO in order to get to you?