It wouldn't.
Disagreement of ideals or ways of life doesn't equate to discrimination. You do not need to accept an individuals sexuality or their beliefs on gender identity in order to live perfectly fine with them. Just as you not accepting Islamic beliefs doesn't make you an Islamophobic. Neither does one need to like you as a person in order to not discriminate against you. Discrimination and agreements/likes of ideals/ways of life are complete separate. Can dislike be the reason behind discrimination? yes, but doesn't equate to all disliking leading to discrimination.
"Homophobia" began to be used for people who discriminated against homosexual people on the basis of fearing homosexuality, aka their own self-insecurity in becoming gay. Discrimination based on the identity of one's sexual orientation would be sexualism. Discrimination based on the identity of one's gender would be genderism, and this term would cover all the various discriminations done against transgender folks. Racism based on race, casteism based on caste.. so on and so forth.
What the fellow
@Monster Zoro's Tesla Supplier was not transphobia, trying to say it is or even imply it is would be just being disingenuous for absolutely no reason other than looking for a pointless argument.