Hi and welcome to PT. First I would try to trim her nails. I have two kittens right now and their nails grow very fast and they're extremely sharp too. You can do a few things when she tries to bite you:
1. Say "Ouch or No" very loud and then clap your hands and walk away from her and ignore her.
2. Try to entice her with a toy instead. Never use your hands/fingers to play with her because she'll then think they are toys.
3. Use a squirt bottle as a last resort but some cats like water.
4. Reinforce good behavior. When she's acting the way you want her to be tell how good she's being and praise her or you can even give her a treat.

Here's some more information about it:http://www.catsofaustralia.com/aggressive-kitten.htm. Good luck.