Hate speech is a form of discrimination
Hate speech should be illegal because it it’s a form of discrimination. Discrimination is when a person is treated unfairly because of their identity. Since hate speech is the extreme hatred towards a specific group of people because of their identity, it constitutes an infringement of individual human rights on the basis of their gender, sexuality, religion, or race.
Discriminating against someone requires action that infringes on someone's rights as a person. Hate speech is just words - it doesn't physically harm anyone or take anything away from them.
[P1] Hate speech is a form of discrimination because it treats people unfairly because of their race, gender, sexuality or religion. [P2] Since discrimination affects people's human rights, hate speech should be against the law.
Rejecting the premises
[Rejecting P1] Discrimination is an action to hurt someone’s livelihood, hate speech is just voicing an opinion.