I had a gate up in their doorway or at the end of the hallway. The kids did NOT have free run of the house for any reason. I had a baby monitor on the shelf in the hallway so I could hear them at any time.
I did have doorknob protectors on the bathroom doorway in that hallway so there was no access to it. Kids can drown in the toilet or tub and even the sink. So they didn't have any free access to the bathroom until much older.
Kids can choke to death and they don't make a sound when they do. Please don't leave any food in her reach while you are not in direct line of sight with her. There is no way I'd want to wake up or turn around and find a child choked to death. They can also choke on a toy. It's not worth the risk.
I had to turn my grandson upside down way too many times to ever let the kids eat anywhere except at the table during meal time. I worked child care a lot of years and I know kids choke even when they take tiny bites normally.
If you don't like her waking up so much earlier you might consider her bedtime. She has had the 3 year old growth spurt? Where they look more like a pre-schooler instead of a toddler? Then she needs a lot less sleep than she did a few months ago.
She may only need 9 hours at night now. So if she's waking up at 6 then she needs to go to bed at 9pm or a bit later so she'll sleep more in the morning.
My grand kids got up between 7:30 and 8 on most days. They had a busy morning and then lunch. They went down for a nap at noon. They would usually sleep until 3:45 or 4 when they were much younger. As they got older they would wake up more like 2:30.
They'd often do a nap in the early evening. Around 5:30 or 6 they'd do a power nap for about 30 minutes or an hour. They'd always go down to bed around 9pm without a fight. Once they got around 12-14 months they wouldn't do that evening nap anymore.
So all together at 3 they were sleeping from around 9pm to 7:30 or 8 every day. Plus they still took at least a 2 hour nap at noon.
That's 12 or more hours of sleep for a 3 year old. They don't need that much.
So, you don't say what time she goes to bed but if you are putting her down before she needs to go down then you are the only one that can solve this problem.
If you're putting her to bed too early then you're going to have to get up too early. Having time to yourself in the evening isn't worth it to me. I enjoyed the kids and had fun with them after dinner.
My time was better spent getting the sleep I needed. I didn't want to get up at 5am. I kept the kids up until 8:30 or so then we started baths and jammie time. They always went down fine and slept through the night.