Well, if your wife is not much of a beer drinker (mine isn't either), then it's mostly going to be you drinking the beer. Dang--you'll just have to manage.
Seriously, most people here probably have 5 or more beers (maybe way more) to pick from most of the time. So, in your case, at least 4 of them should be a style you like. Don't sweat it--if your wife is game, she'll try things and may discover some styles she likes. Or she may not. Whatever.
If she's not really a beer drinker, then frankly it's probably not that important to her whether or not you brew according to her tastes.
I'm fermenting a mixed-berry mild right now--it's the first time I've ever targetted something specifically at what I think my wife might like. And if she doesn't, it's no big deal. I know plenty of people who would be happy to receive a sixer.
Bottle conditioning: Robust Porter
Drinking: Saison Dupont clone, tripel
Coming soon: Columbus APA, Rich Red ale