Rabbits are crepuscular, which means they are most active at dawn and dusk. These are also the best times to visit your rabbit because she will be the most playful. If I lay down in my bunny’s area in the afternoon, he’s super chill – because he’s resting. At night, it’s a different story. he comes up to me and sniffs me, and we toss toys back and forth. The nice thing about free range rabbits is that they seek out attention whenever they want, so you don’t have to worry about not giving them enough.
In the meantime, I’d say start with 30 min. and work your way up. Just sit/lie down in her area, and read or watch TV on a laptop. Hold real still and she’ll come up to you and sniff you. She will eventually be confident enough to jump on your back! Later you can try petting her. But for now, let her get more confident around you. Generally it’s better to let her ask for petting because if a rabbit wants something, they’ll let you know! If she doesn’t want petting, she won’t ask. So don’t give it to her.
Wishing you all, (and your bunnies) bliss