The answer to 'why is my ceiling fan outlet not working' is that there are several common causes, including a tripped circuit breaker, a faulty switch or wiring, or a problem with the ceiling fan itself. Symptoms may include the outlet having no power, the fan not turning on, or the fan running erratically.
To troubleshoot, first check the circuit breaker to make sure it hasn't tripped. If the breaker is fine, use a voltage tester to check for power at the outlet. If there's no power, the issue is likely with the wiring or switch. You may be able to fix this with some basic electrical work, but if you're not comfortable working with electricity, it's best to call a licensed electrician.