Green hydrogen has shown great potential to power microgrids as a primary source, whereas the resilient operation methodology under extreme events remains an open area. To fill this gap, this letter establishes an operational optimization strategy towards resilient hydrogen-powered microgrids. The frequency and voltage regulation characteristics of primary hydrogen sources under droop control and their electrical-chemical conversion process with nonlinear stack efficiency are accurately modeled by piecewise linear constraints. A resilience-oriented multi-time-slot stochastic optimization model is then formulated for an economic and robust operation under changing uncertainties. Test results show that the new formulation can leverage the primary hydrogen sources to achieve a resilience and safety-assured operation plan, supplying maximum critical loads while significantly reducing the frequency and voltage variations.