Anything help soothing the pain after a thyroid biopsy?

Yes. You should not have a lot of pain after a thyroid biopsy. Usually tylenol, (acetaminophen) non-steroidal antiinflammatory meds (ibuprofen, aleeve) is enough to take care of the pain.
Please see. The doctor that did the biopsy. You should not be having pain. Make sure you don't have a hematoma. If you can take Tylenol (acetaminophen) until you see your doctor.