Invite, as a person who was the daughter in this story at one point, I applaud you.
I had alot of mental health problems and my "moving out" was going to live in the dorms. I spiraled down and attempted suicide.
I moved back in with my mom and she laid down the law. I either had to go to school fulltime and work parttime or vice versa. I had to help out around the house and pay "my" bills (car, fun money)
At the time, I hated her for it but now, some years down the road I realized her tough love steered me to be a better, more responsible person.
Your daughter may not appreciate it now, but in a few years when she sees how you probably saved her, she will.