Thake a look at this thread from February
Credit Card vs Debit Card
If your d. cant show any credit, can she show assets (ie checking or savings accounts)? Sometimes the bank you bank with, if you are a good, established customer, will give your child a credit card with a small credit limit so they can establish their relationship with her.
As Achat said, you can also cosign on a credit card. It will still be in your d's name primarily. You'll just be on the hook if she goes hog wild
And not to fear- she'll be deluged with creditcard opportunities on campus when she gets to college. I don't recommend this as the best way to go, if she can help it. Better to shop around for the best deal in advance. But if all else fails, she will definitely be able to get one at school-- just watch for hidden junk fees, high interest rates and such.