I would agree with the emp, but also tie in processing issues where there is a delay between the information she recieves and when the server recieves it, also signal strength could limit her abilites. Particularly with your character who only has suppressed emotions, you could have her struggle with her morality compass versus the extremes of law and "Justice". 
All angels could be tied too a central control network, that limits their effective combat strength based on the assesment of the situation. 
Oh and how angels have political programming aswell, certain backers or officals show up in their eyes as a literal grey void. 
Another idea is Angels have regulations that force them to prioritise key mission objectives no matter how they "feel" and can cause a mental shut down where the central hub assumes direct control. (this would work with a hacker subplot. And also renegade angels who are free of the system. In addition this idea would allow for factions within your own rp where the regulating of angels is a violation of human rights blahblahblah getting to into ideas that are not even going to be green lit XD)

Forgive spellin on phone, listening to lecture.....Trying to be ninja and stuff...