You can not charge capacitor from AC source, you need at least one series diode to rectify AC (half wave rectifier) or better - diode bridge (full wave rectifier). Also, to use zenner as a clamp, you need to limit current, because otherwise the zenner can get very hot and burn. To limit current you may add series resistor.
Draw a schematic of what you are planning to do. It will be much more clear.