It couldn't just be any female, it would have to be a daughter of Coldharbour ( a pure blooded vampire )
Serana and her mother are the only ones left , or that you know of , so the arrows can only be tainted with their blood. However Seranas mother ( I forgot her name
) refuses this as she doesn't like the idea of the whole thing.
Also , I'm not sure why Harkon wanted to sacrifice her , maybe because he wanted the sun to be permanently blocked and that would require the life of a daughter of Coldharbour instead of just the blood?