Riding her bareback doesn't sound like a good idea right now. Before you ride a horse bareback, the horse should be solid and well trained. Along with this, you, as a rider, have to have a solid seat, quiet hands, balance, and you have to be a calm, effective rider. I'd recommend working with an experienced trainer, and slowly working up to this.
Best of luck!
The hills were bathed in moonlight, the shadows not so stark;
Silver light reflected off his brown hide as he held me in the dark
– I love you, Mudpie!