From Longman Dictionary of Contemporary Englishmake a big thing of/about/out of somethingmake a big thing of/about/out of somethingEXAGGERATEto make something seem more important than it really is You can apologise without making a big thing out of it. → thing
Examples from the Corpus
make a big thing of/about/out of something• It was Arbor Day, and their teacher, Miss Ellis, made a big thing out of it. 