To add to what others have said about Bullseye, sometimes you will find that match organizers will permit .22's to be shot in the centerfire and (less often) the .45 thirds of matches but simply will drop your scores in those from official results. You are essentially 'practicing under match conditions' for those portions of the match. In particular I've seen it permitted for 1800 matches (.22 and CF) because you see enough .32s and similarly light centerfire calibers that fellow shooters don't even notice that you're still shooting rimfire.
Besides, Bullseye is an excellent shooting discipline to get your wife introduced to shooting on some level, or at least more tolerant of it. It is about as violent in initial appearance (and feel) as bowling, does not require much equipment to get started in, and develops the first two things you want any shooter to have - safety-mindedness and ability to hit the target. Bring her along to a match, she'll first be impressed with how boring it is to watch, and then later on how much fun it is to actually shoot the gun instead of watch.