Well I couldn't delete an app. I followed the instructions
- "click" an icon and keep holding it down until all the icons "vibrate"
- "click" the x to delete what you want (note Apple doesn't let you delete the apps they don't want deleted - their default apps - I guess the same idea as them forcing some music streaming junk in the next version of extremely bloated iTunes, that seems to be verging on becoming unremovable crap-ware)
I went to a Apple reseller store and they were able to figure out that in settings there were restrictions set. Why the Ux doesn't have the x and then when you use it gives a challenge to prove you can override the restriction is beyond me. But lots of the Ux decisions they make in iOS are beyond me.
Anyway what you have to do is go into settings and then restrictions then type in your passcode then you can delete it. You also then can see the restrictions and turn some off if you want. I am sure I got some advice on making things more secure (the security setup seems horrible to me - the Ux makes being secure a real pain so encourages bad security). And stuff like fingerprint "password" is lame. "fingerprint" is username not password. But whatever, that should let you delete stuff.
Related: Bad iTunes Ux and How to Submit a Podcast to iTunes - Use Urls – Don’t Use Click x, Then Click y, Then Click z Instructions - Poor Web Site User Experience (Ux) for Stock Market Data (post is from over a year ago but the problem remains) - Gobbledygook (bad password usability)