Heather Wilson-Duncan, who is 63, was found guilty last month of manslaughter with a firearm.
Barry Duncan, who was 68, was found shot to death in their rural home near Didsbury in December 2010.
Wilson-Duncan's case is to be spoken to in the Calgary Court of Appeal on May 13.
She testified during her trial that she and her husband had been drinking heavily and were arguing over Christmas decorations when he went into their bedroom, returned with a shotgun and urged her to shoot him.
Court heard a 911 tape of her telling a dispatcher that she thought her husband was joking and she didn't realize the gun was loaded when she pulled the trigger.
Four years is the mandatory minimum for manslaughter with a firearm.
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