Personally (I didn't read all the answers, sorry if it's a repeat), but mine are expected to pick up. It's a general expectation and they know it. Do they care if their rooms are messy? I don't know, I just teach them my expectations for them.
Child: "Mom, can I go to frjends house?"
Me: "Is your room clean?"
Child: "I really want to go, I can do it when I get home PROMISE!!"
Me: "When your room is clean, you may go, just check with me first"
Child: "But but but!"
Me: "No arguing, room clean - go to friends, room dirty - stay home, it is your choice, not mine"
They begin to get this one real quick. When you make it her choice, but you expect if she is asking for anything or to go anywhere that she will complete what you have set out before her. Just this morning the 6 year old was asking to play a computer game, I told her "Yes, after you've fed the dog & cat, got dressed & eaten breakfast, you may play". Guess what? Dog & cat fed, she dressed & had breakfast.
Giving them choices helps them feel empowered too. When baths were a struggle, I'd ask, "Okay, do you want a shower or a bath?" I don't care what they pick, my goal is to get their bodies clean.
You can take control of this while at the same time teaching her consequences of choices. If she is to be at soccer practice at 4 but you asked her to vacuum the living room and she procrastinated, you wait until she had done what was asked, even if she protests and is late, mom has spoken.
I'm not a dictator of my house (normally) and I'm not by far perfect, but this ended my struggle with my girls' rooms being so messy.
Good luck!
D.