WHATS THE DIFFERENCE? Was it a catfight? argument? Fight?

So an altercation I had in work (starbucks) a few weeks back a customer and former college person came in , We had some brief history over me chatting to her ex, I told her she coudnt have a chair we argued for around 30 seconds before I grabbed her hair as she turned she stomped my foot and pushed a creampie/cake in to my face. For me this is never a fight but its all making me paranoid now!
Argument
Fight
Catfight
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WHATS THE DIFFERENCE? Was it a catfight? argument? Fight?
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