Most people will have the antibodies by 4 months, but what you describe about your exposure sounds like you have noting to worry about anyhow. You said you had a cut but that it wasn't bleeding... which means it had clotted. That forms a barrier to your bloodstream, and unless you soaked your hand in a bowl of blood for a while, and maybe pulled on your cut, no other blood could get in. I think you are safe.
If you were tested 4 months after exposure, and the test is negative, you have nothing to worry about. You don't have hepatitis C.