Cant hime see the status above anise's head?

I don’t think she can. I think the only reason she knows who everyone is is because she played this game. From her reaction to the black haired dude I think he was her favorite character.

I think you hit the nail on the head

Ah so she's an "observer" then...

She probably can only see the name of people who had a role or rather "name" in the game. Which is probably also why she isn't suspicious of our MCs nameless status.
Which is why she was able to see important people's name and isn't suspicious of our MCs nameless status. I would also suspect that she can't see the priests name. Or at least normal foot soldiers or guards name.