The phrase "touchy topic" refers to a subject or issue that is sensitive and likely to cause emotional reactions or discomfort for people. Full definition
As for Starbucks employees, these are people in low - wage jobs who don't need the extra hassle — or worse — that might come from being required to engage strangers on touchy topics. (canadianbusiness.com)
One study done by Wells Fargo earlier this year found that nearly half of Americans find it harder to discuss money than other touchy topics such as politics or religion. (usfunds.com)
You should also avoid touchy topics such as politics and discussions of religion. (headedabroad.com)