Growing up in England in the post war years when everything was in short supply, rationed, or simply out of sight financially, I learned to value everything I earned or had given. As a result, I have a house full of cherished items. A tiny pair of embroidery scissors from elementary school, the pearls my sister and b-i-l gave me when I was bridesmaid at their wedding; a red mahogany dining room set (table, buffet and chairs), bought for $75 from a friend who was downsizing when I came to Canada in 1958. Old fashioned petite-point and painted pictures, china ornaments, dressmaking shears, gifts and inheritances of all types given over the years by parents and friends. An eclectic lot, including Christmas tree lights and memorabilia from my husband's family. I wouldn't part with any of them and dread the day we will have to downsize. Strangely, everyone who visits my house appears to like it, mixed vintage as it is.
So to answer your question, Nancy. If the "thing" you treasured is connected to an old love, an ex husband or boyfriend, then the fact it no longer matters is a good thing. You are over it and ready to move on. If it is a material thing, perhaps you have outgrown your need of it. Or, you could be mildly depressed, at the point where you are telling yourself nothing much matters anymore (been there, don't that!). So don't throw the thing out yet. You may change your mind about it tomorrow. Think about it, and if you still feel the same in another year, then you don't really need it anymore.