I am unaware of any STD that can transmit through eyes/mouth that will cause a vaginal discharge. (Secondary infections from active AIDS can, but let’s not go there.)
Many STD’s cause discharges, but it could also just be a yeast infection. Bacterial infections can be caused by MANY different things, not all of them sexual, and that can also be a source of a discharge.
She needs an appointment with her Gynocologist immediately as some infections can cause serious secondary problems if they are not dealt with. And though I doubt you want to, no playing until everything is cleared up.
Any STD that is passed by skin contact is not protected by condom use, this includes Herpes and Genetal Warts - and both of these are lifelong.
And speaking of genetal warts, they can be transmitted without you ever knowing you HAVE them. So you could actually have infected her… just food for thought.