If that transgendered person still have male sexual organs, I will end the relationship status and then switch it into friend status, of course. No way, I would date that person any further.
But really it is all Depending on situation, if that transgendered person is 110% (or more) fully committed to becoming a beautiful girl (like very feminine like) and they have no male genital and no male secondary sexual characteristics. I probably will give that transgendered person a chance to go on relationship with me.
When I went to my daughters wedding in Florida earlier this summer.. (yeah, cold here, HOT there, that was fun.) One of her 'bridesmaids' was a trans girl. According to theory, 'she' had been on hormones for several years already, though, no sex reassignment surgery as yet. Beautiful hair.... but, you just can't hid the male facial features, the male walk, and the way the arms hang when standing upright. (actual female arms tend to bend outward from the elbow. There are pics online that illustrate what I am talking about.) And, of course, the voice was MUCH to deep for a gal. (and then we get into the whole mannerisms thing......)
Nope. Sorry. I have yet to meet a trans girl, that could actually PASSS as a girl. Does 'she' exist? Maybe. But, I am not holding my breath. There are far too many cues to suggest something ain't quite kosher.