Contempt requires you to assume your knowledge and understanding is better than their's, you have no reason to assume that; even if they're in a wheelchair and dribbling, because you might be talking to Stephen Hawkins, or his twin.
Anger is for now not tomorrow, it's a base reaction to something you don't like, on the good end it stops someone from attacking you, physically, on the bad end it gives you an excuse to attack someone you JUST disagree with.
Contempt implies arrogance.
As demonstrated by @genio
Serenity, regularity, absence of vanity,Sincerity, simplicity, veracity, equanimity, Fixity, non-irritability, adaptability, Humility, tenacity, integrity, nobility, magnanimity, charity, generosity, purity. Practise daily these eighteen "ities" You will soon attain immortality. - Socrates
Not all eighteen every day, five a day should be plenty... 😉