I dont think talking about blood or bleeding is disgusting at all. We are all adults here (even though I still have some growing up to do!) I think of blood the same way I think about oil in my car. It serves a purpose.
In my experience (not a provider mind you) bleeding is rare. In fact it has only happened once. I would pay attention to it, the same way I would to an oil leak in my car, as an analogy. In your case, it sounds like something that happens more frequently, so if I were in your shoes I would seek out a medical professional and discuss your body’s reaction.
If I noticed any blood while intimate, I would surely point it out and address it.