It seems like you have a pretty good idea of what your Rite will entail and even what you hope to accomplish. Aside from that, there seems like a smidgen of doubt in there somewhere. Might I suggest a divination? It may aid you in discovering the TRUE purpose behind this, any details that you haven't surmised thus far and possibly a more direct knowledge of exactly WHO you're working with.
Blood Magick is serious Work. Until you know exactly who is wishing this sacrifice of you, I'd say you might want to place a kind of psychic 'filter' on the blood and bone (In this case teeth). It's quite possible to give up the essence of self from these items and still offer up the Power necessary.
Working with other Gods is often fine but making a serious dedication to ones other than She who chose you, may be seen as an affront to Her. Definitely a divination. Just to be on the safe side.
Of course, I may just be off my rocker here, so do what seems best to you.
I'm not bad. I'm just drawn that way. --- Jessica Rabbit in Who Framed Roger Rabbit?
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