You would still have the same age, gender, personality, skin color, etc. and you would be able to speak at least one local language and would know basic information of the era and place. Your family, social standing, and such would be randomly picked.
It may complicate your life though. You’d have no explanation of who you are or why you’re there.
It’s OK, just tell Abe you’re there to kill vampires and he’ll let you into his secret society.
one of the best movies I’ve ever seen. Only slight hyperbole, I was legitimately impressed