I doubt you'll need a flash for the environment you're talking about.
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Try Av mode, F/2.8, ISO400, WB tungsten (may have to experiment with different WB setting) and have a very steady hand or use a tripod.
Does not compute based on "I was indoors today shooting pictures inside a church that had very low lighting."
Just going by memory, the last church I shot in I was at ISO3200 and f/1.8 to get ~1/60s (obviously not the G11) Made me REALLY want a 5DII and 85mm f/1.2.
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