FWIW, I didn’t attend my youngest sister’s wedding. We were going to go, but her fiance backed out, and they when he un-backed out, the reschedule was when our daughter was back in school. We were faced with driving from FL to Baltimore and back, missing work and school, and frankly, we didn’t trust the groom not to back out again.
We used daughter’s school as our official excuse and that was that. Not only were there no hard feelings (at least not expressed to us) but the groom ended up in jail 2 months after the wedding, then he hocked some of my sister’s stuff and split town before their first anniversary. Not that that has anything to do with the OP - I just wanted to toss that out there.
So for my official “me too” answer, I think it’s just fine that your wife goes alone. A wedding is a ceremony, not a command performance.