I don't know anything about the Canadian legal system, but if it's anything like the American one, then the answer is no. An insanity plea is actually very hard to get away with and has very specific requirements. The killer essentially has to be delusional and have no understanding of what she's doing. This killer clearly knew that the victim was a guy who put her husband in jail, so that right there kills an insanity defense.
Of course, in TV-land anything is possible.
If this were a real life case, though, what I would find really interesting is what happens with the daughter. Under normal circumstances, she would have a slam dunk case against the city to get damages for wrongful death. However, she's a minor child, so the decision to pursue a lawsuit would have to be made by her guardian. Which her mother no longer is.
Ok, but Vega also said that Angie has a twitch, and they haven't been romantically involved. I get how inappropriate it would be to make a comment based on intimate personal knowledge, but this was something that one could have figured out just from being Angie's partner for a while.