Well, that sucks.
Plenty, including me, talk to family/friends when they're worried about their other family/friends... you can talk out your concerns, maybe decide if you should or shouldn't say anything... without risking hurting the person... been there... so I can understand that. I hope you can understand too. You're here talking about her right now, same thing... so I hope y'all can get past that and maybe in the future will just talk to each other honestly...
And hopefully you can forgive her goof in sending it... if her email is anything like mine then it's not too hard to select the wrong person... I type in B and it fills in a name... or you pick one... easy to miss and click one name down you know? Hopefully that's all that was... not her just trying to be cranky... if that's the case then by all means cut her off until she grows up and starts acting like a decent human being. Problem of course is how do you figure out if it was on purpose. Whether she made a really stupid error and caused pain, or deliberately caused pain either way she's going to be defensive. Hopefully she'll buck up and say sorry for your feelings getting hurt and you can accept that apology and go forward.
Did you also send a copy to your brother and cut him out too? He was talking too... and didn't tell you... didn't stop her... the only difference I guess is that he made a point of making sure you didn't know about it. Them talking hurt you, that's the part that bothers you right? So, I'm guessing you also cut him out. That's a lot to lose. I don't know if I'd be strong enough to ban someone from my life for that.
In the end it's your choice. If you want to forgive them, still have them around, have their support and love nearby, then you will. If you don't want or need them in your life then you won't.
Hope whichever path you choose you and yours are happy.