Woman who did my nails at nail salon made me bleed?

Before we started, I told her kindly to not cut my nails because they're too far down already and the skin is sensitive.

What does she do? Starts to cut my nails. I say please no, just file them on top no cutting or filing at the tip of my nails. She says she has to, makes the first cut on my thumb nail, it hurts a lot but doesn't bleed. Second nail I literally say please stop and she cuts it and there's blood gushing out because she cut my skin off. She didn't even apologize and pressed a paper towel against it, applied some pressure and then wrapped it around and said I will do others lightly. I said no, she finally said okay.

Then she files them down so much that another finger starts bleeding next to the nail bed. She apologizes for that one, wraps a paper towel around it then only files the top of the nail. At this point I get up and go to the manager and show her and the manager says nothing. She just stands there blank faced.. So I ask to see another technician and she says they are all busy the rest of the day.

I need my nails done because it's for an important event so I just go back to the same woman, do the sign of the cross in my head and let her finish. The paint looked good in the end but two nails now have blood scabs at the top and are too sensitive to even use. No apology, acted like it was normal

Is this normal?