The intensity of your messages are disturbing op. Your dd in my view is not being systemically bullied, this is just normal pre teen behaviour.
What your dd needs you to do is back off, and leave her to sort out her own friendship issues. Your job is to step back and listen, IF she asks for your advice then gently suggest a few ideas, but to muscle into the fray as you are doing is awful. She is going to have to deal with the Lisas of the world all of her life, and how is she ever going to learn the skills needed if you are taking over constantly?
I have dds and have seen most things over the years. What works is teaching your girl that they will NOT be invited to everything and that is fine, you will not get on with everyone and that is fine, and not everyone will like you and that is fine. Bright and breezy wins the day unless the bullying is actually happening, arguments and disagreements? Teach her to keep a cool head and look to move on quickly.
Lisa is allowed to be domineering if she wants, she can be whoever she wants to be, you can not police the characters of other peoples children! And should not try to tell others of her assumed flaws, gossiping about other people's children is going to end very badly, mainly for you and what others think of you.
If you dd is running into problems encourage other friendships for a while both school and home, keep things light and easy. No big deal lets invite some other girls over and have fun. Not to take photos and show off but to actually enjoy many different friendships and so she is not too heavily reliant on any one person or group. If dd is sad, listen and ask HER what she thinks the solution might be, don't just jump in.
Let the girls grow, be themselves. Stay the hell out of it is my best advice, because you can only make things worse.
But so many others have told you this already on here, are you listening?