Am I a transphobe if I can’t date a trans-woman?

it’s not transphobic to choose not to date someone because they’re transgender. When it comes to matters as such, which are highly intimate and personal choices, there is no scope of claims of discrimination being made, in respect of a choice made by the person, in his/her discretion; to be discriminated against, one needs to be entitled to something which is being denied to him/her without a valid reason, and merely on the basis of his/her membership to a certain class of persons being discriminated against.
To be transphobic is to have a strong hatred towards transsexual people. The mere fact that a person chooses not to associate with transsexual people, in general, or exclude them from his/her dating pool as prospective partners does not make him/her transphobic, where the person otherwise believes, his general distaste or aversion notwithstanding, that transsexual people ought not to be discriminated against, where there is scope of discrimination, i.e. in arenas such as employment, civil liberties etc. Would a person, who finds homosexual intercourse distasteful, and/or finds the concept of homosexuality repugnant, for whatsoever reason, but who simultaneously advocates for equal rights for gay people, in respect of marriage, employment, and other arenas where gay people are discriminated against, be considered homophobic, merely by virtue of him harboring a personal, not to mention inconsequential distaste for homosexuality and its implications? The answer is a plain and unequivocal no.