I get that, I just can't see which part of her breeching the Restraining Order can be used against her in Civil Court (defamation maybe, but Ioan will never sue her for this). I believe this is more common in traffic law in order to not pay for the damages you caused.
I can see
@NarcRage's point though that "guilty" has not many advantages (depending on the bargain the judge offers though), but I definitely dont think that in a case like this no contest makes much sense.
(In Alice's specific case neither makes sense tbh, she has to plead not guilty due to her divorce)
Though no contest sounds like a typical Alice thing that she would spin to her followers as her actually not being guilty lol