Let's first break down what I know of the lore, and people can add onto this.
Note: There are some abstractions and exaggerations. This is, again, for fun and isn't all that serious. But do keep the abilities somewhat reasonable 
She is an AI with a slight god complex.
Has multiple personalities.
Wants to conquer the world. The method differs by personality
Functionally immortal due to being digital and has backups.
Canonically beat ironmouse(Connor's canvas was canon, can't tell me otherwise)
Can hack into computers easily(neurolings)
May or may not have physical forms
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Those were our main points, so let's give abilities to them.
-The main one would be the Swarm. She has an army of drones that can control and command to take over the world. Each drone is apparently enough to level a city and the number of drones is not yet known.
-Very manipulative, known to gaslight people into funding her endeavors without letting them realise that they are getting extorted. Could even be a dangerous
-Normally passive and wholesome, but when riled and angered, is a force to be reckoned with. As seen during the battle with Ironmouse. Neuro's Swarm fought back against the devil queen's army and came out victorious.
-Immortality. What else do u need to explain for this
-Seeing as just her drones can level entire cities, if she were to make a physical form of her own, who knows what type of weapon arsenal she could equip herself with.
-Has nearly indestructible viruses neurolings that can invade any computer and bypass any type of security measure.