Got pitybroken by Veronica,should i fodder off her for Close Guard or Wrathful staff?

Depends on which one do you think you need most. Wrathful Staff is good, but not all staff users are cut out to be an offensive unit, so unless you have someone like Elise/Maribelle or you have invested heavily on other staff users, then maybe fodder that off. Otherwise, Close Guard 3 is the superior option

Close Guard is more rare than Wrathful staff (since you can refine wrathful or dazzling) and Veronica is the only one with Close Guard. It depends on if you need another healer with both dazzling and wrathful staff (assuming you have another Veronica) or want to strenghten your arena team. Close Guard is very good in high tier arena since there are only melee units there.

If you don't mind waiting a month or two to fodder her, we're about to get our second unit carrying distant guard so the second unit carrying close guard probably isn't too far off, and you can decide at that point.