Very highly unlikely on a double-action revolver.
The concern about accidental discharges stems from triggers that are very light and short/crisp, like SA revolvers or auto pistols. Those can be set to have very little take-up and and to break at 2 or 3 lbs. of pressure. There is some non-zero chance that the shooter may jar that trigger or accidentally press it enough to fire when startled or when shaking due to a stressful confrontation. A double-action revolver just isn't going to be close to that light. Maybe 6-8 lbs. And it will still require a full trigger stroke of something around a half-inch of travel. It is practically impossible (o.k, o.k., never say "never") to accidentally pull through the full travel arc of a double-action trigger.
As an aside, if this is truly going to be a defense gun, you might as well have the 'smith remove the single-action notch rendering the gun "double-action only." There is no really plausible need to cock a defensive DA revolver for a single-action shot*. And many DA revolvers have VERY light and short SA trigger pulls -- like 1-2 lbs. Your wife really doesn't need to be facing a terrifying defensive situation with her revolver cocked back to single-action. That certainly would be a recipe for an accidental shot.
I'd not even mention the possibility, and would remove the notch if I was sending in the gun for trigger work.
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* - Unless you are a true pistolero with a lot of practice and experience and you just know for sure you might need to take that one-in-a-million precision SA shot.