I admit to being very, very conservative about this, due to past experiences and seeing the aftermath of situations like this (I described one above).
Since we go to the same school, I'll say that I can think of a number of ways this could go wrong and almost all of them would end badly for the student. If you want more info about my school specific insights on this, we can talk privately.
The only way I'd see it working ok would be if the preceptor/resident you wanted to date was 1) ONLY a volunteer preceptor and not on the faculty in any way, 2) not YOUR preceptor and 3) you were not going to rotate at that preceptor's practice site at all during APPE.
But... I still don't think your wife would like it much...