Is that a male BP? Looks like a prolapsed hemipene? I cannot say for certain. It just reminds me of pictures I have seen of it. Did your snake poop recently?
But in the mean time:
1) put her on paper towel substrate.
2) keep her vent moist/prevent from drying out
3) I can't tell exactly from the photos if it's a prolapse. But if it's a minor one, you can make a paste out of sugar+water to dab onto her vent to reduce the swelling.
Minutes. The new ones is with pulling the tail back and trying to show the anus. Satomi we do feed live. And she just ate this past Saturday. I just did the cleaning today to check on them. I almost missed this. She doesn't have any hides and her substrate is aspen.