X11 application from 'administrator' account Call me paranoid but my everyday account has no privileges.

I have a 'administrator' account who is in wheel. When I want to perform administrative tasks, I open a terminal and do

su - administrator
sudo ...


This works fine in most situations, except with X11 applications.

sudo xeyes


fails with


  Can't open display:


What I've tried:


start X11 with the everyday user
do xhost +localhost with everyday user
do export DISPLAY=:0 with administrator


How can I run a X11 application with the administrator account when my desktop runs with the everyday user?
Perhaps ssh -X to localhost?