Why did many Roman people feel the need for a strong leader in 59BCE?

He Romans did not feel the need for a strong emperor in 59 AD. In that year they were under the reign of Nero. Nero finalised his attainment of a tight grip on power in that year, with his commissioning the murder of his controlling and interfering mother, Agrippina the Younger. This was due to Nero's desire for stop her form trying to pull his stings, rather than a desire for a strong leader by the Romans. The rebellion against Nero only started in 64 AD.