If your wife doesn't like beer yet, homebrew is highly unlikely to sway her. You best bet will be to start buying good quality commercial beer until you find a style she likes. Once she starts drinking "a" beer style, then you can start expanding her horizons.
With a very few exceptions, homebrewed beers are not nearly as good or a clean tasting as a well done commercial beer. If you are just starting out, your best bet will be to get a beer foot in the door, then expand her horizons.
For example, my wife loves beer, yet she rarely finds my beer good enough to tempt her away from the craft beers she likes. Remember, you think your beer is awesome because you made it, to others it is just beer, and yours isn't likely the best thing available.
I would try some wheat beers, Oktoberfests, pils, or maybe some sour beers. You never know what people will like and I have found that those who are convinced they don't like beer often end up liking counterintuitive things. My best example, is that women who think beer is gross will often really like IPAs if you don't set them up for failure. Point out the interesting notes (floral, pine, herbal, etc. ) not "thgis is crazy bitter and hard core!". Presentation is a huge part of getting people into new things.
That, or follow Yoop's advice and just make something she does like.