That's DEFINITELY something to be mad about. I think you need to let the employee's boss know that its still going around at the person who outed you is also making a point to avoid you, etc. Because this is obviously not enough. There's no guarantees that it won't happen again, and she is a liability to the company.
The reason I ask is because like others pointed out, law suits can have the opposite effect, especially if you lose. And then you've also lost a lot of time and money for what? Having worked in a law office myself, (as a runt though... so take this with a grain of salt) I've seen a lot of the work that goes into the behind the scenes. And it really is a ton of work and stress. Beyond testimony, there's a TON of what's called discovery that has to be done to make sure you are accurate when presenting your case when it comes to legalities, etc. (Discovery = Research) Plus, if all you have is VERBAL confirmation then there is so many ways they can poke holes in your stories, causing reasonable doubt. For example, do you use the restroom for assigned gender or the one that correlates to your actual gender identity? Is it possible one of the people you got your information could have been talking about you and someone overheard? If you've had surgery, is it possible someone could have seen your scars in the bathroom/locker room? If you haven't had surgery, is it possible someone saw your 'compensations'? (Couldn't think of a better word sorry. Don't know your gender so going to give a spectrum of examples. A stuffed bra, a binder, a packer, etc)
The other thing to consider, (I don't know if you're a US citizen or not or what state you are from if you are, but this is just my perspective on things AS a US Citizen and a resident of Utah) is the law. Your case may not even make it to court. If not even the equal opportunity employment act can ensure the binary genders are equal, then how can you ensure you're going to be fairly treated in court as a transgender person? Its common knowledge that here in the US women are paid less than men, and I've even been a victim of less pay for being a minority. People get treated differently by employers because of the differences etc.
BUUUUT these cases require a LOT of evidence to be heard and proved which is why you don't hear as much about these types of cases as you should. Its ridiculously hard to prove these claims. Like when I was paid barely min wage and only got a raise because min wage was increased, there's no way I could prove those claims. (Not to mention worked harder)
Even at my law firm when I wasn't being paid the base rate for someone at my job, I couldn't prove it, and HR flat out told me that I must have been discussing my wages with my coworkers. But no, I distinctly remember being told that I'd be paid 10 dollars an hour, and then being utterly confused when I was getting paid 8 dollars. But by the time I challenged it, they could pull out my new hire letter (Which mind you was written well after I accepted the job, but back dated to the day I was hired) and it clearly stated 8 dollars an hour. And who do you think courts will believe? backdated paperwork or the word of an employee?