Some people manage to milk it out, but I suspect it might be too late for that. @KsKingBee and @OkieQueenBee might have some suggestions for you.
-Kathy
Yes, as long as the infection hasn't hardened in the sinus it can be 'milked out'. There is a canal between the sinus and the eye socket that pus will eject from the sinus and into the eye cavity. If you put your index finger on the roof of the mouth just inside of where the sinus cavity is and your thumb on the outer sinus, just forward of the sinus, you can squeeze the infection out through the eye.
Candy will use Q-tips to push the infection and clean the eye socket and rinse the eye with Vetricyn Eye Wash. Go slow as the infection can be either loose and watery or very thick.