For perspective, I'll say I live in New England, love the winter, have participated in all types of winter sports (more so when I was younger, admittedly), and I love cold temps. I love to travel to Europe in the winter for the comfortably cool weather and lack of crowds. Many years ago, before central heating there (assuming they have some now), I went to Venice in mid-January for several days. Venice was the coldest place I have ever been on this earth; it was cold, garbage-y, damp/fog and dark. Granted, it is probably cleaner now. However, it was so miserable that I have yet to return to Venice in spite of innumerable trips to Europe. So, if you can deal with dark, wet, cold, just be sure to wear appropriate clothes to make your visit more enjoyable...perhaps. LOL
That being said, the exterior of Santa Maria Della Salute is my favorite church anywhere...but it was before I even arrived in Venice.