Depth of field depends quite substantially on the size of the capture format and the lens focal length *relative to* the capture format size. Depth of field also depends *tremendously* on the camera-to-subject distance.Those are the two largest factors that control one's depth of field. The subject-to-background distance is another factor that plays a VERY large part in depth of field,and how greatly the background can be rendered softly out of focus.
The easiest way to get shallow depth of field is to use a larger-format camera, like a FF digital SLR camera, or a medium format film camera, or a 4x5 inch sheet film camera. With each larger format, with its OWN,specific standard lens that measures roughly the diagonal of the capture size, the larger the capture format, the shallower the depth of field. So for "equal" angles of view, the larger the capture format, the more-shallow the depth of field band is. Small-format digital point and shoots and the Kodak Disc format have/had inherently DEEP depth of field. 4x5 sheet film cameras have shallow depth of field. In the modern era, 4/3, APS-C, and FX or FF digital SLR formats are the three most common and most popular formats; for people work, the larger the format, the better, in my opinion.
With any one,specific camera, like a DX format Nikon d-slr, the longer the camera-to-subject distance, the more likely one will get pretty deep depth of field. Because a DX format camera crops off,and does not image the outer image circle, shooting portraits with a 105mm Nikkor means that you must be at a considerable distance from the camera in order to frame, say, a standing person, or a wedding couple. At long distances, with a 105mm lens, the depth of field is somewhat deep. Because the subject is a long ways away from the camera, and the background is even farther from the camera, the 105mm focal length will not really give you the kind of foreground/background isolation on DX that it will on a larger sensor, due to different camera-to-subject distances AND differences in the capture format's size.
If your wife wants a portrait lens that can be used indoors or in normal, outdoor environments, and she wishes to use a DX format Nikon, the 85mm f/1.8 AF-D Nikkor or the 85mm f/1.4 AF-D NIkkor are the two most handy lenses; they have wide apertures, focus well,are relatively small and relatively light, and will give a working distance that is "acceptable" (but nowhere near idea) on DX format--even though she will need to be around 32 feet way in order to photograph a 6 foot tall man and his bride and allow enough head space and foot space for proper presentation, or to allow an 8x10 crop; if she had a FF Nikon, like a D700, she could use the same 85mm lens and get shallower depth of field, better foreground/background subject isolation, AND the SAME field of view height and width from only 20 feet away from the people being photographed.
Bottom line: if one is really serious about people work and portraiture, one needs to understand that the DX format is over twice as small as FX, and that the FX format will give the photographer many more lens options, as well as much better background control and more-appropriate real-world shooting distances. If she wants a portrait lens for DX, think 85mm more so than 105mm.