A little more info might help. What's her PHd in?
- Applied basket weaving?
- Nuclear Physics?
Wives with some sort of qualification usually have little difficulty finding work in the UAE. However, most Western women are a little surprised at how low the wages are for most positions.
If your wife is looking for something on the staff at a university, there are many such institutions in and near Dubai, some of them remote campuses for well-known Western universities.