I find prehistoric humans fun to draw because their attire and way of life leave so much more to the imagination than their counterparts from recorded history. It's almost like you can design them any way you want.
This woman's pet is not the Smilodon, but another saber-toothed cat called the Megantereon which originated in Africa around seven million years ago before spreading to Eurasia and the Americas. I don't know for certain if there would have been any surviving populations of Megantereon in Africa by the time anatomically modern Homo sapiens showed up 200,000 years ago, but I wanted to give her a companion that was recognizably prehistoric.
And yes, there is some inspiration from the game Far Cry: Primal here. You can even pretend that she's a remote African ancestor of Takkar the Beastmaster if you like.