I agree with Tobyluv about the spaying. It’s a deep instinct with intact buns to mark their territory. They need to attract the opposite sex so they can have as many babies as possible during their short little lives (wild bunnies rarely get to see 2 years). This urge is instinctive and has nothing to do with training or being naughty.
A girl bun will live to be able to make a burrow. It’s what a girl bunny does
Just take care so she doesn’t burrow out of your property.
Chicken wire isn’t recommended for bunnies, as Tobyluv says. It’s made out of one continuous thread, which means the whole net can come unwound if the bunny (or a predator) snaps the wire in one place. Welded netting is much better. Half an inch squares are suitable, you want to keep your bun in and house-cats, ferrets, foxes, minks, rats and other local predators out.
Bunnies can take quite som time to really warm up to their humans. That you often see the whites of her eyes might not be a sign of panic- Ioften see the whites of my bunny Bam’s eyes, and he’s a pretty confident little guy who loves to cuddle. But only you know your bunny, of course.