When you say stigma growing from the calyx, are you referring to that stringy thing that's clearly visible protruding outward? If so, that's just fiber from the plant. If you pinch off leaves that are alive, quite often a fibrous strand is still attached and pulls down along the stem like that. Pruning with a bladed item will cut clean and prevent that. While it happens to me often, I try not to use my fingers as often as I was.
If you are referring to something else, that is something I don't see.
If you are referring to something else, that is something I don't see.