"DD is notoriously laid back and lacking in any common sense"
And there is no incentive for her to develop any 'common sense' when you do it for her!
There's a saying that struck home with me a long time ago. If you do what you've always done, you'll get what you always got. What you've done up to now isn't working, is it? So either you keep doing her thinking for her and she keeps not doing it for herself, or - you step back. Tell her ONCE what you think she should do, and the potential consequences if she doesn't do it. Then leave it. Step back, sit on your hands and bite your tongue. She either listens or she doesn't, she either suffers the consequences or she doesn't.
She's 14. An adolescent, or as I prefer to think of it, a TRAINEE ADULT. Do you want her to enter adulthood still abdicating responsibility for herself onto you, or do you want her to enter adulthood able (or at least, trying) to handle it?
It's not easy, doing the right thing by adolescents. After all, we've been treating them as children for over ten years now, it can be a really hard habit to break. But break it we must. Because at fourteen, she's too old to be having her nose wiped and you have to stop doing it if she's going to have any chance of being a functional adult. Yes, she will fuck up. Yes ,there will be consequences to that that she will have to suffer. Yes, you have to let it happen.
Good luck.