Well, I think it entirely depends on how well you know your wife. As others have said, “let her choose” is the safest bet and it’s hard to argue ...
Having said that, I know my wife extremely well and her taste in jewelry and fashion. I picked out her ring after doing tons of research on the 5 c’s.
I also know my wife well enough that she’d tell me if she wasn’t absolutely thrilled with the choice
So, if you’re a romantic like me, pick it out yourself and row a bit of caution to the wind