From Longman Dictionary of Contemporary Englishmake an issue (out) of somethingmake an issue (out) of somethingARGUEto argue about something, especially in a way that annoys other people because they do not think it is important I was upset by Eleanor’s remarks, but didn’t make an issue of it. → issue
Examples from the Corpus
make an issue (out) of something• For example, the government might make an issue of 100,000 ninety-one-day bills, each at a discount of 1,000.• However, do not make an issue of refusing a drink.• The secretary of state occasionally complains in public about this; no other official makes an issue of it.• There's nothing wrong with your hair, so stop making an issue out of it.• I have not chosen to make an issue of such distinctions here.• Try not to make an issue of it, Dubner said.• He would make an issue of his right to certain beliefs. 