What a load of rubbish you spout in your question, I think you are a troll but here's my answer anyway.
Unless a person lives in an Islamic country (where women marry a man chosen for them) most others, everywhere, marry a person of their choice. We have various ways of choosing as we might prefer a blond to a brunette or redhead. We might prefer someone slim or someone not so slim. We might wish to stay within our own race and some will not consider that necessary etc.
Refusing a date, in the sense of your question, would only occur if a transgender person asked another person for a date. The person being asked should have exactly the same freedom to say 'no' as any other person, regardless of looks, race, creed, gender etc. can have. We are asked, we give our answer. Transgender people don't have a special RIGHT to expect to be accepted by other people. The Transgender person chose to do what they did to their body. That does not impose on others a need to say "Well that's O.K., fine with me, I can treat that as normal." NO NO NO, most of us want to same freedom to say 'no' to dating someone who has done that to their body as the other person has to actually have done that to their body. There are repercussions to most things in life.