I think if you respond to her squeamishness by getting her disposable instead of cloth pads, you are only encouraging that squeamishness to continue. Also, IMO disposable pads are the yuckiest, most uncomfortable menstrual hygiene products available and serve to promote a negative experience. Several of my highschool friends had a huge epiphany when they switched from disposable pads to tampons: "A period doesn't have to be sticky and itchy!!"
If she really doesn't want to wash cloth pads, I would recommend tampons over disposable pads, because they eliminate the dripping sensation that many novice menstruators find disturbing (I started tampons during my first period for this reason) and they will help her get familiar with her body. Talk about the different options, anyway, and let HER choose what she wants to have on hand.
You may be able to help her away from the blood phobia by talking about "flow" instead of "blood" and (if she nonetheless expresses fear of bleeding) pointing out that blood is just the component that gives the flow its color; it is mostly other fluids and she will be losing only a small amount of actual blood.
Mama to a boy EnviroKid
10 years old and a little girl EnviroBaby
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