This is impossible to answer without knowing your age. Why are you still throwing if the pain is that bad? Start with ice and rest if you are presently doing nothing. If pain is still bad with a week of rest, which it sounds like it will be see a doctor that knows elbows.
Remember, Pain is the bodys response to tissue damage. It's a warning that if we don't stop doing this, bad things will happen. Sore muscles are one thing but to throw through real PAIN is very unwise.