If you make a thing of something or make a thing about it, you talk about it or do it in an exaggerated way, so that it seems much more important than it really is.
[informal] Gossips made a big thing about him going on shopping trips with her.
I took his hand to make a big thing of introducing him to my mother.
I didn't have time to tell you, and anyway, I didn't want to make a big thing outof it.