Good thing the character isn't a terrorist then. The head of a cult of assassins is not a terrorist. Assassins target specific people for specific reasons, not to create terror.
Please show me that definition. Assassinations are generally not done to cause terror. They are done to achieve more specific political goals (i.e. get the guy in power out of power).
Insulting me won't make the purpose of assassinations to be about fear.
But sure, let's go with the second sentence. There were only two sentences in the definition:
Terrorism is intended to coerce or intimidate governments or societies in the pursuit of goals that are generally political, religious, or ideological.
That is also not what assassinations are usually about. They are usually not about coercion or intimidation. They are about retribution or seizing power.
I thought we were talking about a character that's the head of a league of assassins, not the actual plot of the movie. You know that the movie didn't have to have that plot, right? You realize it's not some sort of requirement to make that specific Batman story, yes?
....What even is your point? In almost every iteration Ra's al Ghul is trying to destroy Gotham (or Star City in case of CW's Arrow). He's absolutely a terrorist.
OK, do the analysis of how many stories/continuities/universes have him as a terrorist vs how many have him as an ally. If you can split the latter criteria into 'was never a terrorist', 'was a terrorist but is now a repentant ally', 'never even murdered anyone' then even better.
You don't even know his comics biography and you're demanding that. 🙄
A few seconds at Wikipedia could tell you his basic motivations, which are not terrorism:
Raʼs al Ghul is an international criminal mastermind whose ultimate goal is a world in perfect environmental balance. He believes that the best way to achieve this balance is to eliminate most of humanity
He's not trying to scare anyone, just kill them and everyone they know. He doesn't care whether or not there's any terror. It doesn't even enter into the equation for him.
The fact that you don't even know that and you've been arguing with me this whole time about him being a terrorist is hilarious.
Next time, maybe learn about Batman before you argue about Batman.