No, no that's not really solved, now is it?
You can delete your save just by clicking one menu option and then clicking OK. My 4 year old daughter can click OK like a boss even though she can't read properly yet. She just knows the irritating pop-up box goes away.
If she had to type in a password or even just the word "delete" then it'd be impossible for her. But could she delete my save the way the game is at the moment? Hell yes she could.
This is just newbie programming, the way that option is set up at the moment. Seriously. It's not like no other MMO (and this IS an MMO, make no mistake about it, even if it's not all that social sometimes) has ever run into this issue before, and taken steps. Look at wow or swtor before they changed it - delete was a single click, followed by an OK. It was found lacking, and they changed it. FD need to do the same.
I've read some of your posts Black, and you usually make sense. This.,...well, again, monochrome viewing.
It's still your responsibility to make sure the doesn't click the wrong thing. If you're going to leave her alone at the computer, where she can do damage to something like files, or a game, then you get what you deserve. As a parent, you should be watching if there's something you don't want your child doing.
that said, sometimes, there's a way back, other times, there isn't. in the OP's case, it'll depend on the facilities of FD, if they can restore a single accounts save records, and if they have a current enough backup. We don't know if they do daily backups, I'd think they should, but theory and practice are two different things.