Delivery Question

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So I read you use the same muscles to push a bowel movement as you did to push a baby out during delivery. This is why some women get hemorrhoids from pushing too hard. But I read that you can also have an actual bowel movement from pushing and this is so gross and I’m so scared of that happening now. Has that ever happened to anyone or how common is it? Eek just don’t want that to happen even though people say doctors and nurses are used to it so don’t be embarrassed but how can I not be?