I actually mean a LEGAL right
That implies that government gives/permits/or enforces that particular right.
A LEGAL 'right' to not be exposed to ideas that you don’t like or disagree with would give rise to censorship of ideas that any particular group of people deemed they did not like at the time. It would be a 'right' that would have no meaning as it could be changed with whatever politically correct/woke goofiness was popular at the time.
So no, I do not think people should have the LEGAL 'right' not to be exposed to ideas they do not like or agree with. They do have the inherent personal right though to make their own choice if they wish to continue to listen or not.