My s/o is awesome. She worries less than I do, but I don't really understand why.
We have an 11-month-old that we cycle with all over the city - in traffic - because that's how I prefer to travel. she was very hesitant to bring him into the equation at such an early age. I was willing to concede this but the more i thought about it I didn't want to give up another season of cycling (not much riding last year b/c she was pregnant, we moved across the country and both got new jobs - it was a busy year). I think she eventually overcame her concerns (I didn't pressure her) and we've been riding with our son in a Yepp since April (he was just able to hold his head upright). There are studies that suggest the health benefits of bicycling out-weigh the risks of riding in traffic. There is anecdotal evidence that bicycling makes me a much happier person and much easier to live with. I'm not sure what contributed in her change in heart.
I don't have any recommendations to the OP on how to overcome the spousal fear other than try to make bicycling an activity the two of you can do together. Sometimes fear is irrational and a little bit of seat time will help her better understand the real risks, plus seeing how well you mitigate those risks compared to others won't hurt either.