Screen time graph

I'd assume the gray areas are "other", meaning general use, email, navigating on the phone, etc. Tiny percentage of usage anyway.

If I'm reading your screen grab correctly, seems you've got an aggregate daily average use for the prior week of 9 hours. The 2 hours I see there are for entertainment, which leads me to wonder if Apple hasn't figured out yet that TikTok is Entertainment, not Creativity. That or your daughter is a major contributor to that app's media base.

One thing - you've got your report set to "All Devices". Does your daughter have a MacBook or an iPad? Picking a device will help you drill down to where the time is being spent - could be a significant amount of time is on homework.

You can restrict what web sites the kids can access by going into Screen Time, then Content & Privacy Restrictions, then Web Content. You can disable any adult sites, or even specify a list of sites the kids are allowed to visit. That last part is probably more time-intensive on your part, but might be a starting point.

And parents are exempted from being Karen -- but remember this time when the kids get older and become your tech support. They will ;)