When the tissue hangs outside the body for a little while it starts to dry out. It looks dark reddish/black. That is likely what it is. I would not pull on it AT ALL unless you become sure it is not her flesh!! It will break it open and then she will have a real wound. You need to keep it moist all the time so that tissue can repair itself. I had a very similar situation and after a time, that outer layer started to come loose, like dead skin pealing off. Just keep it moist and it will do the work itself. You do need to keep it clean, though. I rinsed my girls a couple of times a day b/c she too had this thin yellow/white discharge for a time. I totally agree with the honey...I used it on mine and she did great! My vet recommended keeping her in the dark all the time for @ 5 days or so ( I am underestimating b/c i can not remember the time he stated to me, but I remember thinking it seemed like a LONG time!). I was having a hard time with it, and would take her out for walks in the evening, though. He said to reduce her food intake to just a little bit of grain. That seems mean too, but they have reserves. ( I let my girl catch a few bugs, shhh!)
I'd use the honey until you feel like her flesh is clean of funk, then u can just use a lubricant...KY, vaseline.
Has she relapsed since you pushed it back in??
If the stuff you were describing is her flesh and not poo then she may be swollen. I have read that Prep-H can help with reducing that, if it is an issue. But if it has stayed put since you pushed it back, then I would stay with the honey! Hope she is doing well...