Suicide Widow of over 50, is it actually possible to date

I lost my husband of 24 years to suicide six years ago. There were a lot of secrets and illnesses that I didn't know about, which left me shocked, angry, and sad. I don't have many friends, I work completely from home, and I have no family nearby. I have been trying dating sites on and off for about four years—at first to distract myself, and later out of loneliness. Nothing ever materialized. Most of the time, I back off when men show interest in sex. I often feel I am too broken, and that most men are not ready to get involved with someone with such heavy baggage—at least not for anything other than sex. I don't know what I want, but just don't want to be sad and lonely.