Is Jiu Jitsu the Best Choice for my Daughter?

Hey, I used to do some Judo when I was younger but its been a very long time and I've pretty much forgot all of it except a couple of moves. I can remember wanting to switch to Jiu Jitsu as Judo was a bit boring for me and Jiu Jitsu seemed more interesting. I quit my Judo lessons with every intention of signing-up to a JJ class but it never materialised and now here I am about 15 years later, fat and out of shape. I'm not really posting for me anyway, I've got a way to go before I think about taking up martial arts again but my daughter is very interested in getting involved. I think she has been spurred on a little from the bullying and pushing around she was getting in school from the other girls in the class and she just wants to be able to protect herself. She doesn't like violence but doesn't want to be bullied either so it makes sense she should take up one of the martial arts. Thankfully, the bullying has stopped in recent months after a few words with the school but it did knock her confidence so I think this could really help to restore it. I was wondering really whether Jiu Jitsu seems like a sensible choice? I've kind of put her off Karate and Judo as I didn't have great experiences with them as a kid. Other than the three formats I've mentioned, Taekwondo is the only other one really that I know a little bit about. Any ideas? By the way, my daughter is 12-years old.