I got my cartilage pierced 2 months ago and it is still really sore when I touch it. It is not red. It has never had any kind of discharge or scab. How do I care for it?

Sea salt soaks are probably best for this. These is this thing called 'hypertrophic scarring' which occurs after a piercing as the body's way of expressing post traumatic stress. Although I am not a professional piercer, nor am I with you, this sounds normal. If in a months time it still hurts, you might want to consult your piercer for advice.
Good luck, I'm sure you're okay .