1. 易怒的;过于敏感的;暴躁的
If you describe someone as touchy, you mean that they are easily upset, offended, or irritated.

2. 棘手的;难办的;需谨慎处理的
If you say that something is a touchy subject, you mean that it is a subject that needs to be dealt with carefully and in a sensitive way, because it might upset or offend people.