An earache lasting for two months is not typical for a standard cold and requires professional medical evaluation. It could indicate fluid buildup behind the eardrum (otitis media with effusion), a chronic infection, or Eustachian tube dysfunction. Please consult a doctor or an ENT specialist. They need to examine your ear with an otoscope to prescribe the correct treatment, which may include prescription nasal sprays, decongestants, or antibiotics. For temporary pain relief, you can take over-the-counter pain relievers like ibuprofen or acetaminophen, and apply a warm compress. Avoid putting any drops in your ear until a doctor has examined it.