I would say no because 1) she doesn't report her income (not a good sign) and 2) if you feel a larger deposit or extra prepaid rent above what you would normally require, it would seem that you are already expecting her to be a liability - which usually, they will be. 

@Jorge Ruiz @Andrew Postell thanks for the extra info.

Unlike investors in the US you can not risk getting the wrong tennat since we are not permitted to terminate a tennat lease.

You and your husband used it for its intended purpose and now you find yourself in what is a completely legitimate situation for a military couple with him deploying and you finding work somewhere else.Unless your loan agreement specifically says you can't rent it out before 1 year, there's no reason to wait an extra couple of months once deployment rolls around and you pursue work elsewhere. 

I recently became a licensed real estate agent in the same area (Ann Arbor, MI) to earn some extra income, and to satisfy my life-long curiosity in real estate.

If you can shrink the duration of the  financial burden by providing extra cash, I think that would be preferable to reducing her payments.Good luck!

There should be permit records with a site plan showing the location of the septic tank as well as the rest of the system.

If you want that extra protection get a umbrella policy

My search has included analyzing the prices of homes in these markets, driving around the neighborhoods, checking on occupancy restrictions, student permits if required, college enrollments, crime statistics, etc.

Are you looking for a SFR with extra rooms for roommates?