Kitten that bites all the time?

I agree with both answers given. She is just play biting, and she's young so she's not trying to hurt you, but you can try 2 different approaches.

First, the next time you or someone else is playing with or petting her and she bites, yell "ouch" really loudly and pull your hand away, then get up and leave the room. Just completely ignore her even if she follows you, for 30 minutes. Don't even look at her. Then after 30 minutes of ignoring her pet her again, and if she does it again immediately yell "OUCH" loudly and walk away and ignore again. Do this every time she bites. She'll get it.

If by chance this doesn't work, which it should if you do it every time and yell "OUCH" loudly enough to scare her and immediately ignore and don't give in, then you can try the spray bottle. This is harder because you always have to have it with you or whomever else is there, and if you don't have it you can't do it and there's no consistency. As soon as she bites spray her. EVERY TIME!

Never use your hands to play with a cat that only teaches them to bite and scratch no matter how gentle you are. You want to use a cat wand so your hands are no where close to what the cat is attacking.

If you are petting her and she goes to bite or nibble on your hand say OUCH and then ignore it. She is telling you she had enough and if you keep it up she will get more aggressive.

What does your cat do when you move your hand towards it ?

Is it aggressive biting or playful biting? I used to have a siamese kitten that enjoyed biting and scratching at hands that pet him (in a playful way) he eventually outgrew it. I would suggest that if she doesn't stop biting, that you could either forcefully say "no" (not shouting though) or you could try to spray it with a spray bottle every time it bites (not on the strong setting, more of a mist)

If you got her several weeks ago, she may not be over the biting stage. Try to redirect her to bite small stuffed toys/balls. When she bites you, tell her a firm NO and maybe hiss at her.

Some cats are easily stimulated. When she starts to bite, stop touching her, it is a sign that she is getting irritated.

It bites anything that moves-and anything shiny-it will get over it with some mild discipline.

Spray with a water bottle when she does it - she'll learn!