Singing, music and drama are OK if you are into that kind of thing. Its a bit like PE. Those that love it try to force it on everyone else. None of my family would EVER dance around on stage or sing in public.
Most arts-related jobs don't involve performing in public.
E.g. events manager, illustrator, librarian, art/music/drama therapist, publishing, teaching, arts administration, broadcasting, audio engineer, recording video game soundtracks, costume designer, set designer, cameraman, gallery owner, agent, photographer, stage manager or animator.
My DC's hate the 'arts' and we said those subjects won't help you get a job like science, business, ICT etc will.
As well as performing and directly arts-related jobs, there are also many employers who don't mind what subject your degree was in, as they all develop transferable skills such as research, debate, analysis, collaboration etc. Additionally there are many fast-track graduate schemes where again a degree in any subject is fine, and conversion courses for careers such as law.