Well, we raise mad mads, so if she is adult size and healthy - she should be able to outrun almost anything. However - keep in mind that she sleeps at night - so you wouldn't want her to be in with nocturnal predators.
I don't know much about your tree frogs - but I do know that we had a 1-1/2" pacific tree frog in with some smaller day geckos and everything was fine until I saw the frog trying to eat the tail of one gecko (day geckos wiggle their tails like worms). That made the difference - the frog was moved that day.
I think everyone would agree that it is not a good idea to mix species that can eat the other and some tree frogs are very predatory.
Good luck!
Morgana