Should I show people my ring appraisal?

I work with some toxic people that are jealous of my 2 carats ring. It is a decent size in my area. They told me it’s fake and they talk about it behind my back that it’s fake or question that on Facebook etc. I have it appraised should I show them?m the appraisal that it’s real? I know it’s easy to say that just ignore them and I have tried it hard. It causes me to be depressed that they say those things to me and behind me.