Ah I see.
Plain yoghurt is a probiotic, but it is not an antibiotic so be aware of that. Infection is still very possible, but I suspect you will notice if anything changes.
I believe if she wasn't prolapsed she would hold her urates inside until she pooped, but with a prolapse those muscles are not working for her, hense the leakage of clear fluids. This is another reason it's really important to get this under control, by keeping the prolapse inside her. Whilst it keeps coming back out, it's not healing so you need to be vigilant about putting it back in and keeping it there. Also, for now, keep giving her some crushed eggshells. She needs the calcium as she is still laying.
You're doing great