Snapped Stem, Any Advice?

tape looks a bit loose and it's wrapped above the damage? This is not quite the goal. Don't let that tiny leaf prevent you from a proper supporting wrap around the damage that will properly hold it all tighly together for a few days. I'd re-wrap it and put more effort into closing that wound while you wrap it up. if it has already become rigid, do not snap it again, of course. just live with it at that point. leaves look like they are still connected through the vascular tissue, so i'd expect it to heal.