Safe to ride with Kenda 27 x 1/38 inch studded tires in snow/ice?
It will depend largely on your handling skills and the conditions of the snowy, icy city you live in.  

Narrower tires, like what you have will cut through small amounts of snow quite easily, but will quickly bog in deeper snow and can be difficult to control when you can't see irregularities underneath the snow. Since they also need to be run at higher pressures, they tend to be a bit twitchy, which is fine on slick even surfaces, but can easily cause slips and crashes where surfaces are uneven (transitions between roads, bike paths, sidewalks, etc).  

I often commute in the spring on narrower studded tires, but am very careful around transitions, or uneven slick surfaces (jumble ice).  They are great for icy patches left by melt/thaw cycles, but definitely less forgiving than a wider tire.  By contrast, I can maintain more speed or jumble ice and the like with the studded tires on my fat bike.

TL;DR I skip using them on days where you have deep snow, or in areas likely to have slick and uneven surfacing.