You can get this trophy in either Arcade or Treasure Battle and maybe get it on your way to Hot-Blooded Fighter Trophy if RNG gods didnt bless you with Akuma Special Battle however you can fight him in Arcade battle with 3 conditions
First you need to win a perfect match second you have to be fast and beat the first 4 battles under 3 minutes and third is not losing a match. I would highly suggest setting the AI on easy Time limit to 40 seconds and rounds to 1.
Now the rounds are set it is time for you to pick your character.
You can either abuse the ai by Picking Katarina and spamming her
(thats how i did it anyway) or pick the fighter you are most comfortable with.
You'll get Akuma to appear and after you have beaten him you'll get the trophy