This is from a wine making site in response to a readers question: "Let me start off by saying that using distilled water in a wine does not mean the wine is ruined. We do not recommend using distilled water because it may
cause problems with the fermentation.
Distilled water is water that has been ran through a still, or rather, steamed from one vessel to the next. This process drives out all the free oxygen and leaves the trace minerals behind. This is significant to a fermentation."
Further on the response adds that if you are using distilled water, they recommend you add yeast nutrient to the primary, 1 tsp. per gallon.
Here's the link:
Did Using Distilled Water In My Wine Ruin It? - Wine Making and Beer Brewing Blog - Adventures in Homebrewing