The bravery is not being paralysed by fear by a superior opponent and giving up before the fight has started. Sometimes the survival instinct doesn't kick in. There are incidents of humans being mauled by tigers and lions and not surviving. I just wonder what the stats are on surviving such an encounter?
A cheetah's not as stocky as a leopard and much more timid but it's a hell of a lot taller. That said, the leopard is the only big cat designed specifically to take out hominids - particularly baboons. While said hominid is dealing with slashing forepaws and the bitey bit at the front, the leopard's back legs are generally to be found making ready to expose the baboon's intestines to the open air.
The woman is lucky but I doubt that the fight lasted half an hour or anything close.