So sorry you have this extra worry Annie. You are obviously worried about the possibility of a melanoma, the other skin cancers don't spread and just need removal to cure them. The incidence of melanoma is very small, less that 30 in 100,000 for someone your daughter's age I would think, so try to keep that in mind.
Your daughter is naturally worried and doesn't want to talk about it until she knows what it is, I think I would be the same. If she can go through BUPA it will speed up treatment and in a couple of weeks this could all be over.
But if you are like me, of course you are going to worry like mad until you hear further, feel free to let it all out on here. Our thoughts will be with you, come back and update us when you can?