Assuming you are American, that would work for you since not obtaining a TRV is a benefit that you, as an American, get but the OP's wife doesn't get as she is not visa exempt.
The OP's wife would need a TRV and, in addition, to have the officer at the border consider the case of allowing her in when she's at the border. You get to skip the first part of that as an American. Unfortunately, the OPs wife has already been denied a TRV (often happens to folks in sponsorship process since they have established intent to move and stay in Canada, which essentially is the opposite of what you need to be approved for a TEMPORARY resident permit, by definition)
Border officers can be friendly to Americans crossing the border - just make sure you take proof of your ties to the US (lease, job, etc) since they can check that at time of crossing.
