We're in uncharted territory at this point, so the following are just some of my speculations.
The AstraZeneca cv19 vaccine is a viral vector vaccine (like the Johnson & Johnson vaccine).
For this type of vaccine, material from the cv19 virus is placed in a modified version of a different virus (viral vector). The viral vector gives your cells instructions to make copies of the cv19 S protein. Once your cells display the S proteins on their surfaces, your immune system responds by creating antibodies.
In the case of AstraZeneca's cv19 vax, it uses a chimpanzee adenovirus to do the above.
The AZ jab still ends up messing around with your wife's natural (God-given, I might add) genetic material inside her cells in places that a natural exposure to a coronavirus would not.
The delivery mechanism is different vs. the mRNA jabs, but the end results are likely similar.
From what I have seen thus far, the number of shots seems to be more important as a predictor of potential adverse events, compared to the specific type of vax. Once you start going over 2 jabs, there is a significant increase in adverse effects.
The data isn't robust wrt to type of vax with the worse adverse side-effect profile, but besides # of shots, I suspect the order goes something like this: Moderna>Pfizer>AZ>JNJ>NovaVax; this particular ranking is completely speculative on my part, and subject to change, assuming more data is allowed to make its way to my feeds;