She is definitely doing fine for her age I think. And to be clear, she IS a house rabbit… she is kept indoors, she is allowed outside of her cage for daily playtime, she is doted on by her bunny slave… all that = CERTIFIED HOUSE RABBIT!!! ;o) You are doing great!
In my experience, many buns like to have a cage or enclosure or pen of some type. Even when mine are free-roam all day long, they choose to go and lounge in their xpen, I’m guessing b/c it’s their own, private, special bunny place. So you may always want to have some type of place for her. I love xpens b/c they are easy enough to move to clean, they can fold up compactly for storage (not the case with a NIC condo or plastic bottom cage!) and if the bun is littertrained, you can place it right on an area rug or square of linoleum and you’ll have minimal cleaning except for the litterbox.
When you’re at work, she’s probably just dosing in and out… make her cage as comfy as you can, but be sure that she still has space to walk around a little bit to stretch her legs. She might become an entirely different bun between now and being spayed due to hormones, so I’d continue to supervise for the most part, it’s okay to run out to get a drink or whatever, but not for an extended length of time. Is your room fully bun-proofed?