No worries Mama. Remember to pay attention to baby when you're nursing...IN GENERAL babies bite when they are not interested in nursing at the moment and feel forces, are done but are being held there, or are having issues with their gums and are trying to relieve the pressure.
Be firm when telling NO (try not to be funny when to react--funny faces, tones which may well be your normal reaction to pain), end the session early and remove her from you lap for a good 30 seconds (which will feel like an ETERNITY) and then slowly bring her to you, hold her and tell her you love her and she can NOT bite, then let her try the other side.
Use your breast milk, Lanisoh, and air to heal your skin. You an still nurse, it may hurt for the first few minutes (eye watering, wincing pain possibly--I know that one well) bu then you'll become numb to it but usually using a different position avoids any of that. You can choose to pump that side and save the milk while nursing solely on the other side for a day or two. You may want to get a nipple sheild at Target or BabiesRUs.
Be at peace, she's not trying to harm you and she'd not trying to buck nursing.