How to theme Profile 2 fields for anonymous?
You can create a View of page display of type Profile types



Then in this View add curriculum_vitae as Relationships, It causes the fields of  curriculum_vitae profile be added to the Fields.

Now create a Contextual Filter of any field you want (it might be name, ID, ...).

So you can easily theme this View to display the information of the selected user.  If the View name be profile, Then using views-view-fields--profile--page.tpl.php you can theme the output.