Just a couple of points.
A. Not even certain you can use a lawyer for these? It is not criminal like a speeding ticket.
B. No points on your license, so I am not certain her california insurance would even see this
C. It will cost a lot, to fight a $100ish ticket, that you can likely fight just as well via mail. Not certain what defense a lawyer could present, that you can’t present via the mail in adjudication process.
D. If they have a picture of her in the intersection, with it red, it sounds like she ran the red light. Doubt even a lawyer could get it thrown out.