Throbbing on my right hand side of my head really sore tender to touch what is this is this tension headache or migraine it really hurts on one side?

See a physician: The tenderness you experience may be a symptom of a medical condition that is different than a simple headache. I'd recommend seeing a physician for recommendations of what tests you should get. Specifically, if the tenderness is over your temple area, you'd want to let your doctor know, as this may indicate a rheumatologic condition. Hope this helps.

See a doctor : At age 34 it is more likely to be tension. More serious causes can occur in the 60+ age group. If it is recurrent and does not respond to simple meds, then a neurologist can help.

Cutaneous allodynia: Throbbing unilateral pain is usually migraine. When a migraine goes on for a while without effective treatment, you can develop "cutaneous allodynia," which is when your skin becomes sensitive to touch, combing, water, or other usually non-painful stimuli. I hope that helps!