The preferred name space cannot be blank, so you can change it, but not remove it. That is not the source of your problem, though.
The "(Anne)" showing in her name is her LNAB (Last Name At Birth). That should probably be changed to Unknown and the CLN (Current Last Name) should probably be Ruddle, based on the will you already added, (before asking this question of whether you should add it).
I would advise you not to change her LNAB, though, until someone who knows more than I (and probably you, too, since you're asking here) about it makes the decision that it should be done.