Let us know how it goes. If the prolapse comes out by straining to lay an egg or other reason, the red will attract pecking. I hope everything goes well.
Hard to see the vent very well. Since separating her can make the others peck or attack her, I would let her have supervised visits with the flock daily, unless she has obvious red prolapse tissue visible. They will peck and injure that. You could also place her in a wire dog crate with the...
Do you have any pictures of her vent are that shows the prolapse? Keep her prolapse moist with vaseline or similar oil, until her prolapse goes back inside. You can try to push it in gently, but it may take some days for it to stay in. I would give another calcium tablet tomorrow.