I had a similar problem. On Monday night (29th) my F chin had white discharge, began to clean herself a lot and when she sat down cleaning it made a decent sized puddle on the floor. 7pm the next day we saw a vet, we both suspected bladder problem or pyometria. Vet felt around and noted my chin squeaking more when she felt her bladder.
She was prescribed 0.3ml (she was about 700grams) baytril 2x daily for about a week. Got her home and she didn't eat much other than hay, has small poops and drank little to nothing. Next day I fed her acidophilus, peppermint leaves and linseeds, and every day the antibiotic at 8am and pm. Since then she has resumed normal drinking and eating, poops are better. Will continue antibiotics and acidophilus until the antibiotics run out. She has had no more discharge.
Two recent threads have discussed the topic of copious milky white discharge but neither have seen a conclusion from the OP that I can see. I hope they were taken to a vet or the problem was otherwise solved and they will post their resolutions so that future owners will be more informed.