Hello, I accidentally cut my middle finger with a little sharp knife, it look identical to a paper cut. The cut was was thin but probably cut through a couple skin layers. I put peroxide and rubbing alcohol to disinfect the wound, then I placed a bandaid over it. After letting the bandaid stay on over night, I woke up and took it off and my nail hurts really bad from this little cut. Is my fingernail infected by this cut? Do I need to see a doctor?.