Oh the poor thing, that must be so hard!
Warning....post is about emetophobia and techniques to confront the fear
I have no experience of blood phobia but I am an emetophobe (fear of sick) so it's kinda related. Like a bit. Sort of.
I've had CBT and they focused on challenging the phobia in a safe environment. So looking at pictures or videos of cartoon characters being sick, watching Casualty episodes of people being fake sick etc
So as an example, there's a series of links to media I'd find quite triggering and I'd work through slowly from the safer ones to the more scary ones: emetophobiahelp.org/erp-resources-2/
They also suggested that we could make some fake, you know what, to look at or we could pretend to be sick together ie making retching noises (what a weird day that would be!).
All this is a very long way of me getting to the point.
Would your daughter be able to look at pictures of blood etc, working up to pretend used sanitary towels? I think the idea is to very gently challenge the fear, to let her see the least triggering things and let her sit with the feelings and to eventually feel calm before moving up the ladder.
It's a fight or flight response so it's impossible to reason your way out of it, you need to calm the body before the brain can think