I've used GSE internally to get rid of yeast while nursing. I started with just one or two drops of the liquid extract per day for a couple of days, then gradually worked up by one or two drops more each couple of days until I got to maybe around ten drops (perhaps a couple more than that, but definitely less than fifteen drops per day). The whole process took maybe two or three weeks. I mixed the GSE in a little glass of orange juice. It got rid of the yeast, and my then-nursling, who was not quite two years old at the time, never skipped a beat and nursed great the whole time. I have never heard about it making breastmilk bitter when taken internally! I know the extract itself is very bitter, I wouldn't think that the small amounts that a person would probably be taking would show up in breastmilk to such a degree that it would become bitter.
(Before taking it internally, I had also tried using it topically (diluted in water, of course) on my nipples. Now that probably tasted bitter! I found that using it internally was more effective, but for a really mild case a topical application might be sufficient.)
Hope this helps!