Do you have a sexual preference? In other words, you immediately discount someone based on qualities they were born with and have no control over. That by definition makes you a sexist, but so what. All discrimination is not wrong, like how employers (attempt to) strongly discriminate based on ability.
Hate speech is in the same bucket. It has a murky, varying meaning depending on who you talk to.
I personally also do not believe in "hate speech". Its an attempt to bait-and-switch language, like calling someone hateful when really you just disagree with them, or maybe theyre just rude. Its begging the question.
No it doesn't.
Sexism is prejudice or discrimination based on a person's sex or gender.
prejudice or discrimination based on sex
prejudice, stereotyping, or discrimination, typically against women, on the basis of sex
prejudice or discrimination based on sex or gender, especially against women and girls.
actions based on a belief that particular jobs and activities are suitable only for women and others are suitable only for men
What definition of sexism are you using where discriminating against what sex you want to date isnt sexism?